Q: What are the prime factors of the number 6,310,122?

 A: 2, 3, 7, 13, 127

Why are those the prime factors of the number 6,310,122?

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 6,310,122

6,310,122
Factor Arrows
23,155,061
Factor Arrows
31,051,687
Factor Arrows
7150,241
Factor Arrows
721,463
Factor Arrows
131,651
Factor Arrows
13127

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, 13, 127

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 13 x 13 x 127 = 6,310,122

This can also be written as 21 x 31 x 72 x 132 x 1271 = 6,310,122

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


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