Q: What are the prime factors of the number 152,351,311?

Why are those the prime factors of the number 152,351,311?

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 152,351,311

	152,351,311
7		21,764,473
	37		588,229

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:

7, 37, 588229

We can check our work by multiplying all of the prime factors together: 7 x 37 x 588,229 = 152,351,311

This can also be written as 7¹ x 37¹ x 588,229¹ = 152,351,311

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

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