Q: What are the prime factors of the number 78,535,260?

 A: 2, 3, 5, 436307

Why are those the prime factors of the number 78,535,260?

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 78,535,260

78,535,260
Factor Arrows
239,267,630
Factor Arrows
219,633,815
Factor Arrows
36,544,605
Factor Arrows
32,181,535
Factor Arrows
5436,307

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, 436307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 436,307 = 78,535,260

This can also be written as 22 x 32 x 51 x 436,3071 = 78,535,260

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


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