Q: What are the prime factors of the number 458,097?

Why are those the prime factors of the number 458,097?

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 458,097

	458,097
3		152,699
	37		4,127

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:

3, 37, 4127

We can check our work by multiplying all of the prime factors together: 3 x 37 x 4,127 = 458,097

This can also be written as 3¹ x 37¹ x 4,127¹ = 458,097

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

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