Q: What are the prime factors of the number 23,541,649?

Why are those the prime factors of the number 23,541,649?

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 23,541,649

	23,541,649
29		811,781
	59		13,759

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:

29, 59, 13759

We can check our work by multiplying all of the prime factors together: 29 x 59 x 13,759 = 23,541,649

This can also be written as 29¹ x 59¹ x 13,759¹ = 23,541,649

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

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