Q: What are the prime factors of the number 81,678,084?

 A: 2, 3, 269, 25303

Why are those the prime factors of the number 81,678,084?

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 81,678,084

81,678,084
Factor Arrows
240,839,042
Factor Arrows
220,419,521
Factor Arrows
36,806,507
Factor Arrows
26925,303

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, 269, 25303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 269 x 25,303 = 81,678,084

This can also be written as 22 x 31 x 2691 x 25,3031 = 81,678,084

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


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