Q: What are the prime factors of the number 39,581,808?

 A: 2, 3, 7, 16829

Why are those the prime factors of the number 39,581,808?

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 39,581,808

39,581,808
Factor Arrows
219,790,904
Factor Arrows
29,895,452
Factor Arrows
24,947,726
Factor Arrows
22,473,863
Factor Arrows
3824,621
Factor Arrows
7117,803
Factor Arrows
716,829

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, 7, 16829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 7 x 16,829 = 39,581,808

This can also be written as 24 x 31 x 72 x 16,8291 = 39,581,808

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


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