Q: What are the prime factors of the number 524,401,141?

Why are those the prime factors of the number 524,401,141?

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 524,401,141

	524,401,141
11		47,672,831
	503		94,777

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:

11, 503, 94777

We can check our work by multiplying all of the prime factors together: 11 x 503 x 94,777 = 524,401,141

This can also be written as 11¹ x 503¹ x 94,777¹ = 524,401,141

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

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