Q: What are the prime factors of the number 17,225,048?

 A: 2, 167, 12893

Why are those the prime factors of the number 17,225,048?

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 17,225,048

17,225,048
Factor Arrows
28,612,524
Factor Arrows
24,306,262
Factor Arrows
22,153,131
Factor Arrows
16712,893

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, 167, 12893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 167 x 12,893 = 17,225,048

This can also be written as 23 x 1671 x 12,8931 = 17,225,048

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


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