Q: What are the prime factors of the number 17,134,564?

 A: 2, 787, 5443

Why are those the prime factors of the number 17,134,564?

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 17,134,564

17,134,564
Factor Arrows
28,567,282
Factor Arrows
24,283,641
Factor Arrows
7875,443

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, 787, 5443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 787 x 5,443 = 17,134,564

This can also be written as 22 x 7871 x 5,4431 = 17,134,564

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


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