Q: What are the prime factors of the number 39,188,350?

 A: 2, 5, 783767

Why are those the prime factors of the number 39,188,350?

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 39,188,350

39,188,350
Factor Arrows
219,594,175
Factor Arrows
53,918,835
Factor Arrows
5783,767

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, 5, 783767

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 783,767 = 39,188,350

This can also be written as 21 x 52 x 783,7671 = 39,188,350

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


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