Q: What are the prime factors of the number 38,804,764?

 A: 2, 19, 510589

Why are those the prime factors of the number 38,804,764?

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 38,804,764

38,804,764
Factor Arrows
219,402,382
Factor Arrows
29,701,191
Factor Arrows
19510,589

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, 19, 510589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 510,589 = 38,804,764

This can also be written as 22 x 191 x 510,5891 = 38,804,764

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


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