Q: What are the prime factors of the number 257,400,223?

Why are those the prime factors of the number 257,400,223?

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 257,400,223

	257,400,223
31		8,303,233
	457		18,169

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:

31, 457, 18169

We can check our work by multiplying all of the prime factors together: 31 x 457 x 18,169 = 257,400,223

This can also be written as 31¹ x 457¹ x 18,169¹ = 257,400,223

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

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