Q: What are the prime factors of the number 68,473,472?

 A: 2, 534949

Why are those the prime factors of the number 68,473,472?

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 68,473,472

68,473,472
Factor Arrows
234,236,736
Factor Arrows
217,118,368
Factor Arrows
28,559,184
Factor Arrows
24,279,592
Factor Arrows
22,139,796
Factor Arrows
21,069,898
Factor Arrows
2534,949

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, 534949

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 534,949 = 68,473,472

This can also be written as 27 x 534,9491 = 68,473,472

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


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