Q: What are the prime factors of the number 130,341,764?

 A: 2, 7, 109, 6101

Why are those the prime factors of the number 130,341,764?

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 130,341,764

130,341,764
Factor Arrows
265,170,882
Factor Arrows
232,585,441
Factor Arrows
74,655,063
Factor Arrows
7665,009
Factor Arrows
1096,101

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, 7, 109, 6101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 109 x 6,101 = 130,341,764

This can also be written as 22 x 72 x 1091 x 6,1011 = 130,341,764

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


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