Q: What are the prime factors of the number 17,357,427?

 A: 3, 31, 62213

Why are those the prime factors of the number 17,357,427?

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 17,357,427

17,357,427
Factor Arrows
35,785,809
Factor Arrows
31,928,603
Factor Arrows
3162,213

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:

3, 31, 62213

We can check our work by multiplying all of the prime factors together: 3 x 3 x 31 x 62,213 = 17,357,427

This can also be written as 32 x 311 x 62,2131 = 17,357,427

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


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