Q: What are the prime factors of the number 29,804,051?

Why are those the prime factors of the number 29,804,051?

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 29,804,051

	29,804,051
31		961,421
	61		15,761

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, 61, 15761

We can check our work by multiplying all of the prime factors together: 31 x 61 x 15,761 = 29,804,051

This can also be written as 31¹ x 61¹ x 15,761¹ = 29,804,051

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

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