Q: What are the prime factors of the number 103,618,879?

 A: 7, 13, 47, 3461

Why are those the prime factors of the number 103,618,879?

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 103,618,879

103,618,879
Factor Arrows
714,802,697
Factor Arrows
72,114,671
Factor Arrows
13162,667
Factor Arrows
473,461

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:

7, 13, 47, 3461

We can check our work by multiplying all of the prime factors together: 7 x 7 x 13 x 47 x 3,461 = 103,618,879

This can also be written as 72 x 131 x 471 x 3,4611 = 103,618,879

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


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