Q: What are the prime factors of the number 15,708,546?

 A: 2, 3, 7, 29, 1433

Why are those the prime factors of the number 15,708,546?

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 15,708,546

15,708,546
Factor Arrows
27,854,273
Factor Arrows
32,618,091
Factor Arrows
3872,697
Factor Arrows
3290,899
Factor Arrows
741,557
Factor Arrows
291,433

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, 29, 1433

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 29 x 1,433 = 15,708,546

This can also be written as 21 x 33 x 71 x 291 x 1,4331 = 15,708,546

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


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