Q: What are the prime factors of the number 17,325,504?

 A: 2, 3, 7, 4297

Why are those the prime factors of the number 17,325,504?

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 17,325,504

17,325,504
Factor Arrows
28,662,752
Factor Arrows
24,331,376
Factor Arrows
22,165,688
Factor Arrows
21,082,844
Factor Arrows
2541,422
Factor Arrows
2270,711
Factor Arrows
390,237
Factor Arrows
330,079
Factor Arrows
74,297

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, 7, 4297

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 3 x 3 x 7 x 4,297 = 17,325,504

This can also be written as 26 x 32 x 71 x 4,2971 = 17,325,504

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


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