Q: What are the prime factors of the number 77,147,352?

 A: 2, 3, 229, 4679

Why are those the prime factors of the number 77,147,352?

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 77,147,352

77,147,352
Factor Arrows
238,573,676
Factor Arrows
219,286,838
Factor Arrows
29,643,419
Factor Arrows
33,214,473
Factor Arrows
31,071,491
Factor Arrows
2294,679

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, 229, 4679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 229 x 4,679 = 77,147,352

This can also be written as 23 x 32 x 2291 x 4,6791 = 77,147,352

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


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