Q: What are the prime factors of the number 10,537,330?

 A: 2, 5, 101, 10433

Why are those the prime factors of the number 10,537,330?

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 10,537,330

10,537,330
Factor Arrows
25,268,665
Factor Arrows
51,053,733
Factor Arrows
10110,433

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, 101, 10433

We can check our work by multiplying all of the prime factors together: 2 x 5 x 101 x 10,433 = 10,537,330

This can also be written as 21 x 51 x 1011 x 10,4331 = 10,537,330

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


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