Q: What are the prime factors of the number 992,820?

 A: 2, 3, 5, 16547

Why are those the prime factors of the number 992,820?

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 992,820

992,820
Factor Arrows
2496,410
Factor Arrows
2248,205
Factor Arrows
382,735
Factor Arrows
516,547

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, 16547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 16,547 = 992,820

This can also be written as 22 x 31 x 51 x 16,5471 = 992,820

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


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