Q: What are the prime factors of the number 81,203,088?

 A: 2, 3, 433, 3907

Why are those the prime factors of the number 81,203,088?

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 81,203,088

81,203,088
Factor Arrows
240,601,544
Factor Arrows
220,300,772
Factor Arrows
210,150,386
Factor Arrows
25,075,193
Factor Arrows
31,691,731
Factor Arrows
4333,907

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, 433, 3907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 433 x 3,907 = 81,203,088

This can also be written as 24 x 31 x 4331 x 3,9071 = 81,203,088

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


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