Q: What are the prime factors of the number 15,757,707?

 A: 3, 7, 19, 73, 541

Why are those the prime factors of the number 15,757,707?

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 15,757,707

15,757,707
Factor Arrows
35,252,569
Factor Arrows
7750,367
Factor Arrows
1939,493
Factor Arrows
73541

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:

3, 7, 19, 73, 541

We can check our work by multiplying all of the prime factors together: 3 x 7 x 19 x 73 x 541 = 15,757,707

This can also be written as 31 x 71 x 191 x 731 x 5411 = 15,757,707

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


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