Q: What are the prime factors of the number 423,413,407?

Why are those the prime factors of the number 423,413,407?

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 423,413,407

	423,413,407
17		24,906,671
	31		803,441

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, 31, 803441

We can check our work by multiplying all of the prime factors together: 17 x 31 x 803,441 = 423,413,407

This can also be written as 17¹ x 31¹ x 803,441¹ = 423,413,407

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

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