Q: What are the prime factors of the number 699,023?

Why are those the prime factors of the number 699,023?

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 699,023

	699,023
13		53,771
	17		3,163

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:

13, 17, 3163

We can check our work by multiplying all of the prime factors together: 13 x 17 x 3,163 = 699,023

This can also be written as 13¹ x 17¹ x 3,163¹ = 699,023

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

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