Q: What are the prime factors of the number 382,121,441?

Why are those the prime factors of the number 382,121,441?

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 382,121,441

	382,121,441
13		29,393,957
	353		83,269

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, 353, 83269

We can check our work by multiplying all of the prime factors together: 13 x 353 x 83,269 = 382,121,441

This can also be written as 13¹ x 353¹ x 83,269¹ = 382,121,441

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

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