Q: What are the prime factors of the number 25,546,427?

Why are those the prime factors of the number 25,546,427?

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 25,546,427

	25,546,427
17		1,502,731
	47		31,973

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:

17, 47, 31973

We can check our work by multiplying all of the prime factors together: 17 x 47 x 31,973 = 25,546,427

This can also be written as 17¹ x 47¹ x 31,973¹ = 25,546,427

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

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