Q: What are the prime factors of the number 432,382,553?

Why are those the prime factors of the number 432,382,553?

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 432,382,553

	432,382,553
157		2,754,029
	191		14,419

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:

157, 191, 14419

We can check our work by multiplying all of the prime factors together: 157 x 191 x 14,419 = 432,382,553

This can also be written as 157¹ x 191¹ x 14,419¹ = 432,382,553

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

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