Q: What are the prime factors of the number 124,989,350?

 A: 2, 5, 97, 25771

Why are those the prime factors of the number 124,989,350?

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 124,989,350

124,989,350
Factor Arrows
262,494,675
Factor Arrows
512,498,935
Factor Arrows
52,499,787
Factor Arrows
9725,771

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, 97, 25771

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 97 x 25,771 = 124,989,350

This can also be written as 21 x 52 x 971 x 25,7711 = 124,989,350

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


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