Q: What are the prime factors of the number 48,257?

Why are those the prime factors of the number 48,257?

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 48,257

	48,257
11		4,387
	41		107

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, 41, 107

We can check our work by multiplying all of the prime factors together: 11 x 41 x 107 = 48,257

This can also be written as 11¹ x 41¹ x 107¹ = 48,257

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

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