Q: What are the prime factors of the number 108,134,149?

Why are those the prime factors of the number 108,134,149?

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 108,134,149

	108,134,149
19		5,691,271
	271		21,001

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:

19, 271, 21001

We can check our work by multiplying all of the prime factors together: 19 x 271 x 21,001 = 108,134,149

This can also be written as 19¹ x 271¹ x 21,001¹ = 108,134,149

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

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