Q: What are the prime factors of the number 163,230,311?

Why are those the prime factors of the number 163,230,311?

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 163,230,311

	163,230,311
17		9,601,783
	19		505,357

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, 19, 505357

We can check our work by multiplying all of the prime factors together: 17 x 19 x 505,357 = 163,230,311

This can also be written as 17¹ x 19¹ x 505,357¹ = 163,230,311

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

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