Q: What are the prime factors of the number 10,761,936?

 A: 2, 3, 139, 1613

Why are those the prime factors of the number 10,761,936?

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 10,761,936

10,761,936
Factor Arrows
25,380,968
Factor Arrows
22,690,484
Factor Arrows
21,345,242
Factor Arrows
2672,621
Factor Arrows
3224,207
Factor Arrows
1391,613

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, 139, 1613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 139 x 1,613 = 10,761,936

This can also be written as 24 x 31 x 1391 x 1,6131 = 10,761,936

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


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