Q: What are the prime factors of the number 10,061,120?

 A: 2, 5, 23, 1367

Why are those the prime factors of the number 10,061,120?

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 10,061,120

10,061,120
Factor Arrows
25,030,560
Factor Arrows
22,515,280
Factor Arrows
21,257,640
Factor Arrows
2628,820
Factor Arrows
2314,410
Factor Arrows
2157,205
Factor Arrows
531,441
Factor Arrows
231,367

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, 23, 1367

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 5 x 23 x 1,367 = 10,061,120

This can also be written as 26 x 51 x 231 x 1,3671 = 10,061,120

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


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