Q: What are the prime factors of the number 602,306,213?

Why are those the prime factors of the number 602,306,213?

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 602,306,213

	602,306,213
19		31,700,327
	313		101,279

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:

19, 313, 101279

We can check our work by multiplying all of the prime factors together: 19 x 313 x 101,279 = 602,306,213

This can also be written as 19¹ x 313¹ x 101,279¹ = 602,306,213

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

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