Q: What are the prime factors of the number 127,764,420?

 A: 2, 3, 5, 7, 107, 2843

Why are those the prime factors of the number 127,764,420?

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 127,764,420

127,764,420
Factor Arrows
263,882,210
Factor Arrows
231,941,105
Factor Arrows
310,647,035
Factor Arrows
52,129,407
Factor Arrows
7304,201
Factor Arrows
1072,843

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, 5, 7, 107, 2843

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 107 x 2,843 = 127,764,420

This can also be written as 22 x 31 x 51 x 71 x 1071 x 2,8431 = 127,764,420

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


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