Q: What are the prime factors of the number 123,214,420?

 A: 2, 5, 7, 59, 2131

Why are those the prime factors of the number 123,214,420?

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 123,214,420

123,214,420
Factor Arrows
261,607,210
Factor Arrows
230,803,605
Factor Arrows
56,160,721
Factor Arrows
7880,103
Factor Arrows
7125,729
Factor Arrows
592,131

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, 5, 7, 59, 2131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 59 x 2,131 = 123,214,420

This can also be written as 22 x 51 x 72 x 591 x 2,1311 = 123,214,420

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


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