Q: What are the prime factors of the number 545,421,241?

Why are those the prime factors of the number 545,421,241?

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 545,421,241

	545,421,241
23		23,713,967
	29		817,723

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:

23, 29, 817723

We can check our work by multiplying all of the prime factors together: 23 x 29 x 817,723 = 545,421,241

This can also be written as 23¹ x 29¹ x 817,723¹ = 545,421,241

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

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