Q: What are the prime factors of the number 124,111,424?

 A: 2, 17, 114073

Why are those the prime factors of the number 124,111,424?

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 124,111,424

124,111,424
Factor Arrows
262,055,712
Factor Arrows
231,027,856
Factor Arrows
215,513,928
Factor Arrows
27,756,964
Factor Arrows
23,878,482
Factor Arrows
21,939,241
Factor Arrows
17114,073

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, 17, 114073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 17 x 114,073 = 124,111,424

This can also be written as 26 x 171 x 114,0731 = 124,111,424

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


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