Q: What are the prime factors of the number 70,060,272?

 A: 2, 3, 1459589

Why are those the prime factors of the number 70,060,272?

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 70,060,272

70,060,272
Factor Arrows
235,030,136
Factor Arrows
217,515,068
Factor Arrows
28,757,534
Factor Arrows
24,378,767
Factor Arrows
31,459,589

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, 1459589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 1,459,589 = 70,060,272

This can also be written as 24 x 31 x 1,459,5891 = 70,060,272

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


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