Q: What are the prime factors of the number 415,462,601?

Why are those the prime factors of the number 415,462,601?

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 415,462,601

	415,462,601
53		7,838,917
	59		132,863

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:

53, 59, 132863

We can check our work by multiplying all of the prime factors together: 53 x 59 x 132,863 = 415,462,601

This can also be written as 53¹ x 59¹ x 132,863¹ = 415,462,601

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

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