Q: What are the prime factors of the number 180,756,786?

 A: 2, 3, 7, 61, 10079

Why are those the prime factors of the number 180,756,786?

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 180,756,786

180,756,786
Factor Arrows
290,378,393
Factor Arrows
330,126,131
Factor Arrows
74,303,733
Factor Arrows
7614,819
Factor Arrows
6110,079

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, 7, 61, 10079

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 61 x 10,079 = 180,756,786

This can also be written as 21 x 31 x 72 x 611 x 10,0791 = 180,756,786

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


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