Q: What are the prime factors of the number 171,205,201?

Why are those the prime factors of the number 171,205,201?

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 171,205,201

	171,205,201
101		1,695,101
	137		12,373

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:

101, 137, 12373

We can check our work by multiplying all of the prime factors together: 101 x 137 x 12,373 = 171,205,201

This can also be written as 101¹ x 137¹ x 12,373¹ = 171,205,201

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

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