Q: What are the prime factors of the number 103,301,523?

 A: 3, 13, 43, 20533

Why are those the prime factors of the number 103,301,523?

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 103,301,523

103,301,523
Factor Arrows
334,433,841
Factor Arrows
311,477,947
Factor Arrows
13882,919
Factor Arrows
4320,533

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:

3, 13, 43, 20533

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 43 x 20,533 = 103,301,523

This can also be written as 32 x 131 x 431 x 20,5331 = 103,301,523

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


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