Q: What are the prime factors of the number 103,140,011?

Why are those the prime factors of the number 103,140,011?

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 103,140,011

	103,140,011
13		7,933,847
	257		30,871

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:

13, 257, 30871

We can check our work by multiplying all of the prime factors together: 13 x 257 x 30,871 = 103,140,011

This can also be written as 13¹ x 257¹ x 30,871¹ = 103,140,011

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

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