Q: What are the prime factors of the number 15,470,214?

 A: 2, 3, 23, 112103

Why are those the prime factors of the number 15,470,214?

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 15,470,214

15,470,214
Factor Arrows
27,735,107
Factor Arrows
32,578,369
Factor Arrows
23112,103

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, 23, 112103

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 112,103 = 15,470,214

This can also be written as 21 x 31 x 231 x 112,1031 = 15,470,214

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


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