Q: What are the prime factors of the number 69,642?

 A: 2, 3, 53, 73

Why are those the prime factors of the number 69,642?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 69,642

69,642
Factor Arrows
234,821
Factor Arrows
311,607
Factor Arrows
33,869
Factor Arrows
5373

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 53, 73

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 53 x 73 = 69,642

This can also be written as 21 x 32 x 531 x 731 = 69,642

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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