Q: What are the prime factors of the number 153,535,547?

Why are those the prime factors of the number 153,535,547?

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 153,535,547

	153,535,547
11		13,957,777
	109		128,053

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, 109, 128053

We can check our work by multiplying all of the prime factors together: 11 x 109 x 128,053 = 153,535,547

This can also be written as 11¹ x 109¹ x 128,053¹ = 153,535,547

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

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