Q: What are the prime factors of the number 605,373,733?

Why are those the prime factors of the number 605,373,733?

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 605,373,733

	605,373,733
41		14,765,213
	457		32,309

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:

41, 457, 32309

We can check our work by multiplying all of the prime factors together: 41 x 457 x 32,309 = 605,373,733

This can also be written as 41¹ x 457¹ x 32,309¹ = 605,373,733

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

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