Q: What are the prime factors of the number 124,304,124?

 A: 2, 3, 7, 701, 2111

Why are those the prime factors of the number 124,304,124?

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 124,304,124

124,304,124
Factor Arrows
262,152,062
Factor Arrows
231,076,031
Factor Arrows
310,358,677
Factor Arrows
71,479,811
Factor Arrows
7012,111

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, 701, 2111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 701 x 2,111 = 124,304,124

This can also be written as 22 x 31 x 71 x 7011 x 2,1111 = 124,304,124

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


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