Q: What are the prime factors of the number 10,190,970?

 A: 2, 3, 5, 113233

Why are those the prime factors of the number 10,190,970?

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 10,190,970

10,190,970
Factor Arrows
25,095,485
Factor Arrows
31,698,495
Factor Arrows
3566,165
Factor Arrows
5113,233

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, 5, 113233

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 113,233 = 10,190,970

This can also be written as 21 x 32 x 51 x 113,2331 = 10,190,970

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


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