Q: What are the prime factors of the number 15,627,861?

 A: 3, 19, 59, 1549

Why are those the prime factors of the number 15,627,861?

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 15,627,861

15,627,861
Factor Arrows
35,209,287
Factor Arrows
31,736,429
Factor Arrows
1991,391
Factor Arrows
591,549

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, 19, 59, 1549

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 59 x 1,549 = 15,627,861

This can also be written as 32 x 191 x 591 x 1,5491 = 15,627,861

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


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