Q: What are the prime factors of the number 10,111,920?

 A: 2, 3, 5, 7, 13, 463

Why are those the prime factors of the number 10,111,920?

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 10,111,920

10,111,920
Factor Arrows
25,055,960
Factor Arrows
22,527,980
Factor Arrows
21,263,990
Factor Arrows
2631,995
Factor Arrows
3210,665
Factor Arrows
542,133
Factor Arrows
76,019
Factor Arrows
13463

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, 7, 13, 463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 463 = 10,111,920

This can also be written as 24 x 31 x 51 x 71 x 131 x 4631 = 10,111,920

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


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