Q: What are the prime factors of the number 303,422,153?

Why are those the prime factors of the number 303,422,153?

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 303,422,153

	303,422,153
19		15,969,587
	233		68,539

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, 233, 68539

We can check our work by multiplying all of the prime factors together: 19 x 233 x 68,539 = 303,422,153

This can also be written as 19¹ x 233¹ x 68,539¹ = 303,422,153

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

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