Q: What are the prime factors of the number 10,479,850?

 A: 2, 5, 209597

Why are those the prime factors of the number 10,479,850?

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 10,479,850

10,479,850
Factor Arrows
25,239,925
Factor Arrows
51,047,985
Factor Arrows
5209,597

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, 209597

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 209,597 = 10,479,850

This can also be written as 21 x 52 x 209,5971 = 10,479,850

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


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