Q: What are the prime factors of the number 124,463,815?

 A: 5, 7, 101, 137, 257

Why are those the prime factors of the number 124,463,815?

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 124,463,815

124,463,815
Factor Arrows
524,892,763
Factor Arrows
73,556,109
Factor Arrows
10135,209
Factor Arrows
137257

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:

5, 7, 101, 137, 257

We can check our work by multiplying all of the prime factors together: 5 x 7 x 101 x 137 x 257 = 124,463,815

This can also be written as 51 x 71 x 1011 x 1371 x 2571 = 124,463,815

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


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