Q: What are the prime factors of the number 124,257,696?

 A: 2, 3, 1294351

Why are those the prime factors of the number 124,257,696?

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 124,257,696

124,257,696
Factor Arrows
262,128,848
Factor Arrows
231,064,424
Factor Arrows
215,532,212
Factor Arrows
27,766,106
Factor Arrows
23,883,053
Factor Arrows
31,294,351

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, 1294351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 1,294,351 = 124,257,696

This can also be written as 25 x 31 x 1,294,3511 = 124,257,696

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


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