Q: What are the prime factors of the number 17,094,220?

 A: 2, 5, 11, 13, 43, 139

Why are those the prime factors of the number 17,094,220?

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 17,094,220

17,094,220
Factor Arrows
28,547,110
Factor Arrows
24,273,555
Factor Arrows
5854,711
Factor Arrows
1177,701
Factor Arrows
135,977
Factor Arrows
43139

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, 11, 13, 43, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 13 x 43 x 139 = 17,094,220

This can also be written as 22 x 51 x 111 x 131 x 431 x 1391 = 17,094,220

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


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