Q: What are the prime factors of the number 124,031,320?

 A: 2, 5, 7, 17, 71, 367

Why are those the prime factors of the number 124,031,320?

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 124,031,320

124,031,320
Factor Arrows
262,015,660
Factor Arrows
231,007,830
Factor Arrows
215,503,915
Factor Arrows
53,100,783
Factor Arrows
7442,969
Factor Arrows
1726,057
Factor Arrows
71367

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, 5, 7, 17, 71, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 17 x 71 x 367 = 124,031,320

This can also be written as 23 x 51 x 71 x 171 x 711 x 3671 = 124,031,320

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


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