Q: What are the prime factors of the number 670,071,012?

 A: 2, 3, 13, 211, 20357

Why are those the prime factors of the number 670,071,012?

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 670,071,012

670,071,012
Factor Arrows
2335,035,506
Factor Arrows
2167,517,753
Factor Arrows
355,839,251
Factor Arrows
134,295,327
Factor Arrows
21120,357

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, 13, 211, 20357

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 211 x 20,357 = 670,071,012

This can also be written as 22 x 31 x 131 x 2111 x 20,3571 = 670,071,012

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


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