Q: What are the prime factors of the number 15,430,220?

 A: 2, 5, 13, 17, 3491

Why are those the prime factors of the number 15,430,220?

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 15,430,220

15,430,220
Factor Arrows
27,715,110
Factor Arrows
23,857,555
Factor Arrows
5771,511
Factor Arrows
1359,347
Factor Arrows
173,491

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, 5, 13, 17, 3491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 17 x 3,491 = 15,430,220

This can also be written as 22 x 51 x 131 x 171 x 3,4911 = 15,430,220

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


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