Q: What are the prime factors of the number 81,601,744?

 A: 2, 7, 827, 881

Why are those the prime factors of the number 81,601,744?

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 81,601,744

81,601,744
Factor Arrows
240,800,872
Factor Arrows
220,400,436
Factor Arrows
210,200,218
Factor Arrows
25,100,109
Factor Arrows
7728,587
Factor Arrows
827881

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, 7, 827, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 827 x 881 = 81,601,744

This can also be written as 24 x 71 x 8271 x 8811 = 81,601,744

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


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