Q: What are the prime factors of the number 124,260,102?

 A: 2, 3, 127, 18119

Why are those the prime factors of the number 124,260,102?

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 124,260,102

124,260,102
Factor Arrows
262,130,051
Factor Arrows
320,710,017
Factor Arrows
36,903,339
Factor Arrows
32,301,113
Factor Arrows
12718,119

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, 127, 18119

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 127 x 18,119 = 124,260,102

This can also be written as 21 x 33 x 1271 x 18,1191 = 124,260,102

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


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