Q: What are the prime factors of the number 130,112,710?

 A: 2, 5, 7, 13, 142981

Why are those the prime factors of the number 130,112,710?

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 130,112,710

130,112,710
Factor Arrows
265,056,355
Factor Arrows
513,011,271
Factor Arrows
71,858,753
Factor Arrows
13142,981

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, 5, 7, 13, 142981

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 13 x 142,981 = 130,112,710

This can also be written as 21 x 51 x 71 x 131 x 142,9811 = 130,112,710

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


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