Q: What are the prime factors of the number 15,462,027?

 A: 3, 7, 17, 14437

Why are those the prime factors of the number 15,462,027?

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 15,462,027

15,462,027
Factor Arrows
35,154,009
Factor Arrows
31,718,003
Factor Arrows
7245,429
Factor Arrows
1714,437

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, 17, 14437

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 17 x 14,437 = 15,462,027

This can also be written as 32 x 71 x 171 x 14,4371 = 15,462,027

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


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