Q: What are the prime factors of the number 247,082,136?

 A: 2, 3, 7, 1470727

Why are those the prime factors of the number 247,082,136?

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 247,082,136

247,082,136
Factor Arrows
2123,541,068
Factor Arrows
261,770,534
Factor Arrows
230,885,267
Factor Arrows
310,295,089
Factor Arrows
71,470,727

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, 1470727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 1,470,727 = 247,082,136

This can also be written as 23 x 31 x 71 x 1,470,7271 = 247,082,136

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


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