Q: What are the prime factors of the number 243,153,157?

Why are those the prime factors of the number 243,153,157?

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 243,153,157

	243,153,157
13		18,704,089
	101		185,189

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, 101, 185189

We can check our work by multiplying all of the prime factors together: 13 x 101 x 185,189 = 243,153,157

This can also be written as 13¹ x 101¹ x 185,189¹ = 243,153,157

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

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