Q: What are the prime factors of the number 61,407,486?

 A: 2, 3, 7, 69623

Why are those the prime factors of the number 61,407,486?

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 61,407,486

61,407,486
Factor Arrows
230,703,743
Factor Arrows
310,234,581
Factor Arrows
33,411,527
Factor Arrows
7487,361
Factor Arrows
769,623

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, 7, 69623

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 7 x 69,623 = 61,407,486

This can also be written as 21 x 32 x 72 x 69,6231 = 61,407,486

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


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