Q: What are the prime factors of the number 413,042,653?

Why are those the prime factors of the number 413,042,653?

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 413,042,653

	413,042,653
19		21,739,087
	331		65,677

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, 331, 65677

We can check our work by multiplying all of the prime factors together: 19 x 331 x 65,677 = 413,042,653

This can also be written as 19¹ x 331¹ x 65,677¹ = 413,042,653

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

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