Q: What are the prime factors of the number 762,278?

Why are those the prime factors of the number 762,278?

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 762,278

	762,278
2		381,139
	11		34,649

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:

2, 11, 34649

We can check our work by multiplying all of the prime factors together: 2 x 11 x 34,649 = 762,278

This can also be written as 2¹ x 11¹ x 34,649¹ = 762,278

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

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