Q: What are the prime factors of the number 103,447,014?

 A: 2, 3, 11, 89, 1601

Why are those the prime factors of the number 103,447,014?

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 103,447,014

103,447,014
Factor Arrows
251,723,507
Factor Arrows
317,241,169
Factor Arrows
111,567,379
Factor Arrows
11142,489
Factor Arrows
891,601

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:

2, 3, 11, 89, 1601

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 11 x 89 x 1,601 = 103,447,014

This can also be written as 21 x 31 x 112 x 891 x 1,6011 = 103,447,014

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


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