Q: What are the prime factors of the number 788,953?

Why are those the prime factors of the number 788,953?

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 788,953

	788,953
11		71,723
	17		4,219

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:

11, 17, 4219

We can check our work by multiplying all of the prime factors together: 11 x 17 x 4,219 = 788,953

This can also be written as 11¹ x 17¹ x 4,219¹ = 788,953

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

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