Q: What are the prime factors of the number 176,086?

Why are those the prime factors of the number 176,086?

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 176,086

	176,086
2		88,043
	17		5,179

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, 17, 5179

We can check our work by multiplying all of the prime factors together: 2 x 17 x 5,179 = 176,086

This can also be written as 2¹ x 17¹ x 5,179¹ = 176,086

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

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