Q: What are the prime factors of the number 77,800,332?

 A: 2, 3, 467, 13883

Why are those the prime factors of the number 77,800,332?

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 77,800,332

77,800,332
Factor Arrows
238,900,166
Factor Arrows
219,450,083
Factor Arrows
36,483,361
Factor Arrows
46713,883

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, 467, 13883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 467 x 13,883 = 77,800,332

This can also be written as 22 x 31 x 4671 x 13,8831 = 77,800,332

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


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