Q: What are the prime factors of the number 964,722?

 A: 2, 3, 11, 47, 311

Why are those the prime factors of the number 964,722?

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 964,722

964,722
Factor Arrows
2482,361
Factor Arrows
3160,787
Factor Arrows
1114,617
Factor Arrows
47311

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, 11, 47, 311

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 47 x 311 = 964,722

This can also be written as 21 x 31 x 111 x 471 x 3111 = 964,722

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


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