Q: What are the prime factors of the number 124,607,235?

 A: 3, 5, 101, 233, 353

Why are those the prime factors of the number 124,607,235?

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 124,607,235

124,607,235
Factor Arrows
341,535,745
Factor Arrows
58,307,149
Factor Arrows
10182,249
Factor Arrows
233353

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:

3, 5, 101, 233, 353

We can check our work by multiplying all of the prime factors together: 3 x 5 x 101 x 233 x 353 = 124,607,235

This can also be written as 31 x 51 x 1011 x 2331 x 3531 = 124,607,235

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


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