Q: What are the prime factors of the number 421,433,455?

Why are those the prime factors of the number 421,433,455?

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 421,433,455

	421,433,455
5		84,286,691
	271		311,021

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:

5, 271, 311021

We can check our work by multiplying all of the prime factors together: 5 x 271 x 311,021 = 421,433,455

This can also be written as 5¹ x 271¹ x 311,021¹ = 421,433,455

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

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