Q: What are the prime factors of the number 251,304,257?

Why are those the prime factors of the number 251,304,257?

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 251,304,257

	251,304,257
313		802,889
	673		1,193

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:

313, 673, 1193

We can check our work by multiplying all of the prime factors together: 313 x 673 x 1,193 = 251,304,257

This can also be written as 313¹ x 673¹ x 1,193¹ = 251,304,257

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

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