Number Properties

Total factors formula helps to determine the different ways K could have 9 factors, which are 2 different ways. True or False.

True.

Total factors formula is one of the steps that will produce the different ways K could have 9 factors. True or False.

True.

Add 2 to each exponent then multiply is the total factor formula. True or False.

False.

All even number are based on 2(n)+1. True or False.

False.

All even number are not divisible by 2(n). True or False.

False.

Consecutive numbers that are prime are 5,7,9. True or False.

False.

For AxB to be even, both must be even. True or False.

False.

On DS problems, you don't have to check to make sure you are answering the right questions. True or False.

False.

The total factors decrease when a number is raised. True or False.

False.

The total prime factors decrease when a number is raised. True or False.

False.

The total prime factors increase when a number is raised. True or False.

False.

There are negative prime numbers. True or False.

False.

There is no non-integer that can be multiplied by itself and become an integer. True or False.

False.

This is False. For the sum of two numbers to be odd. One must be even and one must be odd.

False.

This is False. No matter how many even numbers are in a set, one odd number will make the sum of the set odd.

False.

Total factors formula is not one of the steps that will produce the different ways K could have 9 factors. True or False.

False.

True or False. A problem has two variables along with %s of each. There is always a relationship between the two variables quantities.

False.

True or False. In an odd quantity of odd consecutive numbers, the median will not be the avg.

False.

True or False. The dividend is the denominator

False.

True or False. The divisor is the numerator.

False.

True or False. X+Y=10 Are you only considering integers.

False.

Two less then 20-10 is the number of #s in between 20 and 10 (and for any two numbers). True or False.

False.

When a problem says if x..... that is a suggestion. True or False.

False.

When testing numbers never test zero or decimals. True or False.

False.

When you are told, simply, what one of the prime factors are, it is best to write it without an exponent placeholder e.g. 2. True or False.

False.

y and √y do not have the same prime factors. True or False.

False.

1 is not included in a numbers total number of factors. Yes or No.

No.

3 is a prime factor of all odd numbers. Yes or No.

No.

An odd number raised can be even. Yes or No.

No.

Don't exhaust all possibilities as your work divisbility problems. Yes or No.

No.

If you are given all the prime factors you have all the factors you need. Because you need the powers of each prime factor. Yes or No.

No.

Prime numbers share a common prime factor. Yes or No.

No.

Problems dealing with prime factors are not tricky. Yes or No.

No.

You can determine the total prime factors by just knowing the total factors. Or what the prime factors are. Yes or No.

No.

To see if a number is prime, Check the # against the prime numbers under its square root to see if that # is prime. Right or Wrong.

Right.

There is only one type of non-integer that can be multiplied by itself and become an integer and that is square roots. True or False.

True.

This is True. Any amount of even numbers added to an odd number will always make the sum of that set of numbers odd.

True.

Add 1 to each exponent of the prime factor then multiply the exponents is the total factor formula. True or False.

True.

All odd numbers are divisible by 2(n)+1. True or False.

True.

A² when A is a negative decimal is larger than A³. True or False.

True.

A² when A is a positive decimal is larger than A³. True or False.

True.

A³, when A is a negative decimal, is larger than A¹¹. True or False.

True.

Consecutive numbers that are prime is 2,3 only. True or False.

True.

Consecutive prime numbers mean 5,7,11. True or False.

True.

Consider testing POFNER (positive, 0, fractions, negative, exponents, and roots). True or False.

True.

Divisibility and finding factor problems are tricky so pay close attention to number properties. True or False.

True.

For AxB to be even, A or B must be even. True or False.

True.

If there are not a lot of possibilities for a set of #s in the problem then list them out. True or False.

True.

If you have a set of consecutive #s, the pattern is even,odd,even... or odd,even,odd...

True.

Negative decimal raised to an even power is always positive. True or False.

True.

Negative decimals raised get closer to zero. True or False.

True.

Odd numbers are based on 2(n)+1. True or False.

True.

One less then 20-10 is the number of #s in between 10 and 20 (and for any two numbers). True or False.

True.

Positive decimals raised get further away zero. True or False.

True.

Prime factors do not change even when you raise the number they belong to to higher exponents. True or False.

True.

Prime factors do not change even when you reduce the exponents. True or False.

True.

Roots time roots can be a whole number. Fractions time its reciprocal is a whole number. True or False.

True.

The distance between every prime number after 2and3 is at least 2. True or False.

True.

The square root of y √y has the same prime factors as y. True or False.

True.

The total factors increase when a number is raised. True or False.

True.

The total prime factors do not change when a number is raised. True or False.

True.

The trap of prime numbers is that all possibilities (the value of exponents) are not listed. True or False.

True.

The trap with divisibility problems is that not all possibilities are written out. True or False.

True.

There are 40% dogs and 30% cats. If you don't know how they relate then you cannot analyze them any further. Increase in dogs may do nothing to the quantity of cats. True or False.

True.

True or False. Always think in decimals unless not stated or working with quantities that cannot be divided into fractions (word problems with people, cars).

True.

True or False. An even expression raised to any positive power is even.

True.

True or False. Dn=Dr(Q)+R

True.

True or False. In an even quantity of "even, odd, plain consecutive" numbers, the avg of the two middle numbers is the same as the avg of the whole.

True.

True or False. In an odd quantity of "any type" of consecutive numbers, the median will be the avg.

True.

True or False. In an odd quantity of even consecutive numbers, the median will be the avg.

True.

True or False. Number lines can have integers and numbers with decimals.

True.

True or False. Prime numbers are not negative.

True.

True or False. The dividend is the numerator.

True.

True or False. The divisor is the denominator.

True.

True or False. There is a ton of wealth in the DS question stem.

True.

True or False. When you see all fractions, you can convert all of them to decimals or to whole numbers.

True.

True or false. The problem says approx and the answer choices are 10⁸, 10⁹ etc. you round a lot.

True.

Use Total factors formula to determine different ways K could have 9 factors. True or False.

True.

WOTF... means that you should always start from answer choice E.

True.

When a problems says if x.... that is a fact, so write it down and use it. True or False.

True.

When negative decimals are raised to larger odd number, the get smaller and closer to zero. True or False.

True.

When solving problems don't forget to check back at the rules and info from the question stem. True or False.

True.

When you are told a number is a prime factor it is best to write it as 2ⁿ not 2. Two is still a prime factor when it is raised to 2¹ or 2¹⁰⁰. True or False.

True.

"A² divided by 4 has the quotient 1" means A² is 4<A²<8. If it is greater than 8, the quotient would be 2 or if A² is less than 4, the quotient would be a decimal less than 1. Yes or No

Yes.

"Does X have a factor B" B represents possibility of a value therefore the question is asking if B exists. Yes or No.

Yes.

"What is the remainder when a is divided by b?" To answer this you need to know the value of b and a or a and Q or b and Q. Yes or No.

Yes.

2 is a prime factor of all even numbers. Yes or No.

Yes.

8 factors can have different sets of prime factors that make up the 8 factors. Yes or No.

Yes.

Conciously simplify statements as you read quant problems for ex. "Is a+b-4 even?" Summarize by thinking "is a+b" even b/c that is what you need to know to solve the problem. Yes or No.

Yes.

Even if you are given all the prime factors, you only have a piece of the puzzle because sometimes a variable is attached to that number or your are not given the powers of each prime factor. Yes or No.

Yes.

Even numbers share only ONE common prime factor. Yes or No.

Yes.

Exhaust all possibilities as your work divisibility problems. Yes or No.

Yes.

If K is a factor X then X has every prime factor K has. Yes or No.

Yes.

If X is a factor of K then K may have prime factors that X does not have. Yes or No.

Yes.

N² and 8 will never share ANY of the same prime factors if N is odd. Yes or No.

Yes.

Perfect squares (or even exponents greater than 2) have an odd number of factors. Yes or No.

Yes.

Perfect squares can have even and odd factors. Yes or No.

Yes.

Problems dealing with prime factors are tricky so examine all possibilities. Yes or No.

Yes.

Total factors include 1 and the number itself. Yes or No.

Yes.