Q: What are the prime factors of the number 768,372,100?

 A: 2, 5, 7683721

Why are those the prime factors of the number 768,372,100?

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 768,372,100

768,372,100
Factor Arrows
2384,186,050
Factor Arrows
2192,093,025
Factor Arrows
538,418,605
Factor Arrows
57,683,721

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, 7683721

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7,683,721 = 768,372,100

This can also be written as 22 x 52 x 7,683,7211 = 768,372,100

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


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