Q: What are the prime factors of the number 124,030,304?

 A: 2, 3875947

Why are those the prime factors of the number 124,030,304?

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 124,030,304

124,030,304
Factor Arrows
262,015,152
Factor Arrows
231,007,576
Factor Arrows
215,503,788
Factor Arrows
27,751,894
Factor Arrows
23,875,947

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, 3875947

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3,875,947 = 124,030,304

This can also be written as 25 x 3,875,9471 = 124,030,304

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


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