Q: What are the prime factors of the number 81,611,075?

 A: 5, 7, 13, 29, 1237

Why are those the prime factors of the number 81,611,075?

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 81,611,075

81,611,075
Factor Arrows
516,322,215
Factor Arrows
53,264,443
Factor Arrows
7466,349
Factor Arrows
1335,873
Factor Arrows
291,237

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:

5, 7, 13, 29, 1237

We can check our work by multiplying all of the prime factors together: 5 x 5 x 7 x 13 x 29 x 1,237 = 81,611,075

This can also be written as 52 x 71 x 131 x 291 x 1,2371 = 81,611,075

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


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