Q: What are the prime factors of the number 123,400,320?

 A: 2, 3, 5, 64271

Why are those the prime factors of the number 123,400,320?

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 123,400,320

123,400,320
Factor Arrows
261,700,160
Factor Arrows
230,850,080
Factor Arrows
215,425,040
Factor Arrows
27,712,520
Factor Arrows
23,856,260
Factor Arrows
21,928,130
Factor Arrows
2964,065
Factor Arrows
3321,355
Factor Arrows
564,271

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, 5, 64271

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 2 x 3 x 5 x 64,271 = 123,400,320

This can also be written as 27 x 31 x 51 x 64,2711 = 123,400,320

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


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