Q: What are the prime factors of the number 10,455,860?

 A: 2, 5, 353, 1481

Why are those the prime factors of the number 10,455,860?

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 10,455,860

10,455,860
Factor Arrows
25,227,930
Factor Arrows
22,613,965
Factor Arrows
5522,793
Factor Arrows
3531,481

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, 353, 1481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 353 x 1,481 = 10,455,860

This can also be written as 22 x 51 x 3531 x 1,4811 = 10,455,860

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


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