Prime Factorization Vocabulary

Another way to write prime factorization can include

exponents

These numbers are neither prime nor composite because they do not fit the definitions.

0 and 1

Factors of 100 in multiplication form

1 x 100, 2 x 50, 4 x 25, 5 x 20, 10 x 10

Factors of 17

1, 17

99 is divisible by

1, 3, 9, 11, 33, and 99

Factors of 36 in factor list form

1, 36, 2, 18, 3, 12, 4, 9, 6

The smallest prime number

2

Prime Factorization of 144

2 to the 4th power * 3 to the 2nd power

Prime Factorization of 100

2 x 2 x 5 x 5

Prime Factorization of 30

2 x 3 x 5

The first 10 prime numbers

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

The first 10 composite numbers

4, 6, 8, 9, 10, 12, 14, 16, 18, 20

Prime Factorization of 275

5 x 5 x 11

Composite Number

A whole number greater than 1 that can be divided evenly by other numbers other than 1 and itself. It has more than 2 factors.

Prime Number

A whole number greater than 1 that can be divided evenly only by 1 and itself. It only has 2 factors

Factor

Numbers multiplied together to get another number.

Prime Factorization

The process of finding the prime numbers that you can multiply together to make the original number

Divisible

When a number can be divided evenly by another number without a remainder

1 is not prime or composite because

it is a factor of every number and it does not have exactly 2 different factors

0 is not prime or composite because

the only factors it has are itself and it is less than one