Q: What are the prime factors of the number 139,427,670?

 A: 2, 3, 5, 67, 71, 977

Why are those the prime factors of the number 139,427,670?

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 139,427,670

139,427,670
Factor Arrows
269,713,835
Factor Arrows
323,237,945
Factor Arrows
54,647,589
Factor Arrows
6769,367
Factor Arrows
71977

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, 5, 67, 71, 977

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 67 x 71 x 977 = 139,427,670

This can also be written as 21 x 31 x 51 x 671 x 711 x 9771 = 139,427,670

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


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