Q: What are the prime factors of the number 488,461?

Why are those the prime factors of the number 488,461?

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 488,461

	488,461
17		28,733
	59		487

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:

17, 59, 487

We can check our work by multiplying all of the prime factors together: 17 x 59 x 487 = 488,461

This can also be written as 17¹ x 59¹ x 487¹ = 488,461

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

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