Q: What are the prime factors of the number 124,234,234?

 A: 2, 37, 83, 113, 179

Why are those the prime factors of the number 124,234,234?

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 124,234,234

124,234,234
Factor Arrows
262,117,117
Factor Arrows
371,678,841
Factor Arrows
8320,227
Factor Arrows
113179

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, 37, 83, 113, 179

We can check our work by multiplying all of the prime factors together: 2 x 37 x 83 x 113 x 179 = 124,234,234

This can also be written as 21 x 371 x 831 x 1131 x 1791 = 124,234,234

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


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