Q: What are the prime factors of the number 124,460,776?

 A: 2, 11, 401, 3527

Why are those the prime factors of the number 124,460,776?

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 124,460,776

124,460,776
Factor Arrows
262,230,388
Factor Arrows
231,115,194
Factor Arrows
215,557,597
Factor Arrows
111,414,327
Factor Arrows
4013,527

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, 11, 401, 3527

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 401 x 3,527 = 124,460,776

This can also be written as 23 x 111 x 4011 x 3,5271 = 124,460,776

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


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