Q: What are the prime factors of the number 10,455,560?

 A: 2, 5, 261389

Why are those the prime factors of the number 10,455,560?

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 10,455,560

10,455,560
Factor Arrows
25,227,780
Factor Arrows
22,613,890
Factor Arrows
21,306,945
Factor Arrows
5261,389

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, 261389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 261,389 = 10,455,560

This can also be written as 23 x 51 x 261,3891 = 10,455,560

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


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