Q: What are the prime factors of the number 17,665,024?

 A: 2, 13, 1327

Why are those the prime factors of the number 17,665,024?

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 17,665,024

17,665,024
Factor Arrows
28,832,512
Factor Arrows
24,416,256
Factor Arrows
22,208,128
Factor Arrows
21,104,064
Factor Arrows
2552,032
Factor Arrows
2276,016
Factor Arrows
2138,008
Factor Arrows
269,004
Factor Arrows
234,502
Factor Arrows
217,251
Factor Arrows
131,327

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, 13, 1327

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 1,327 = 17,665,024

This can also be written as 210 x 131 x 1,3271 = 17,665,024

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


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