Q: What are the prime factors of the number 805,218,241?

Why are those the prime factors of the number 805,218,241?

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 805,218,241

	805,218,241
47		17,132,303
	53		323,251

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:

47, 53, 323251

We can check our work by multiplying all of the prime factors together: 47 x 53 x 323,251 = 805,218,241

This can also be written as 47¹ x 53¹ x 323,251¹ = 805,218,241

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

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