Q: What are the prime factors of the number 130,112,703?

 A: 3, 7, 19, 1907

Why are those the prime factors of the number 130,112,703?

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 130,112,703

130,112,703
Factor Arrows
343,370,901
Factor Arrows
314,456,967
Factor Arrows
34,818,989
Factor Arrows
7688,427
Factor Arrows
1936,233
Factor Arrows
191,907

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, 7, 19, 1907

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 19 x 19 x 1,907 = 130,112,703

This can also be written as 33 x 71 x 192 x 1,9071 = 130,112,703

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


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