Q: What are the prime factors of the number 9,816,372?

 A: 2, 3, 257, 1061

Why are those the prime factors of the number 9,816,372?

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 9,816,372

9,816,372
Factor Arrows
24,908,186
Factor Arrows
22,454,093
Factor Arrows
3818,031
Factor Arrows
3272,677
Factor Arrows
2571,061

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, 257, 1061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 257 x 1,061 = 9,816,372

This can also be written as 22 x 32 x 2571 x 1,0611 = 9,816,372

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


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