Q: What are the prime factors of the number 124,002,120?

 A: 2, 3, 5, 11, 93941

Why are those the prime factors of the number 124,002,120?

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 124,002,120

124,002,120
Factor Arrows
262,001,060
Factor Arrows
231,000,530
Factor Arrows
215,500,265
Factor Arrows
35,166,755
Factor Arrows
51,033,351
Factor Arrows
1193,941

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, 5, 11, 93941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 11 x 93,941 = 124,002,120

This can also be written as 23 x 31 x 51 x 111 x 93,9411 = 124,002,120

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


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