Q: What are the prime factors of the number 277,578,059?

Why are those the prime factors of the number 277,578,059?

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 277,578,059

	277,578,059
11		25,234,369
	113		223,313

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:

11, 113, 223313

We can check our work by multiplying all of the prime factors together: 11 x 113 x 223,313 = 277,578,059

This can also be written as 11¹ x 113¹ x 223,313¹ = 277,578,059

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

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