Q: What are the prime factors of the number 62,120,212?

 A: 2, 7, 11, 139, 1451

Why are those the prime factors of the number 62,120,212?

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 62,120,212

62,120,212
Factor Arrows
231,060,106
Factor Arrows
215,530,053
Factor Arrows
72,218,579
Factor Arrows
11201,689
Factor Arrows
1391,451

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, 7, 11, 139, 1451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 139 x 1,451 = 62,120,212

This can also be written as 22 x 71 x 111 x 1391 x 1,4511 = 62,120,212

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


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