Q: What are the prime factors of the number 465,127?

Why are those the prime factors of the number 465,127?

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 465,127

	465,127
13		35,779
	37		967

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, 37, 967

We can check our work by multiplying all of the prime factors together: 13 x 37 x 967 = 465,127

This can also be written as 13¹ x 37¹ x 967¹ = 465,127

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

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