Prime Factorization

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A prime number's factors are?

1 and itself

Prime Number Series

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, ...

Prime factors of 24 by Factor Tree method

2³×3

Prime factors of 24 by Short Cut Division method

2³×3

Prime factors of 72 by Factor Tree method

2³×3²

Prime factors of 72 by Short Cut Division

2³×3²

Prime factors of 42 by Factor Tree method

2×3×7

Prime Number

A whole number other than 0 and 1 which is divisible only 1 and itself

Composite Number

A whole number other than 0 and 1 which is not prime. A composite number has two or more factors.

Is 0 prime?

No (by Prime definition)

Is 1 prime?

No (by Prime definition)

Are even numbers greater than 2 prime?

No. All are divisible by 2.

How to identify if an odd number is prime?

Test if divisible by the prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, ...

Prime Factorization

Write a composite number as a product of prime numbers from least to greatest. By either Short Cut Division or Factor Tree methods.

Is 2 prime?

Yes


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