Q: What are the prime factors of the number 79,045,536?

 A: 2, 3, 31, 26561

Why are those the prime factors of the number 79,045,536?

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 79,045,536

79,045,536
Factor Arrows
239,522,768
Factor Arrows
219,761,384
Factor Arrows
29,880,692
Factor Arrows
24,940,346
Factor Arrows
22,470,173
Factor Arrows
3823,391
Factor Arrows
3126,561

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, 31, 26561

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 31 x 26,561 = 79,045,536

This can also be written as 25 x 31 x 311 x 26,5611 = 79,045,536

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


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