Q: What are the prime factors of the number 77,379,760?

 A: 2, 5, 227, 4261

Why are those the prime factors of the number 77,379,760?

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 77,379,760

77,379,760
Factor Arrows
238,689,880
Factor Arrows
219,344,940
Factor Arrows
29,672,470
Factor Arrows
24,836,235
Factor Arrows
5967,247
Factor Arrows
2274,261

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, 227, 4261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 227 x 4,261 = 77,379,760

This can also be written as 24 x 51 x 2271 x 4,2611 = 77,379,760

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


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