Q: What are the prime factors of the number 85,230,075?

 A: 3, 5, 7, 162343

Why are those the prime factors of the number 85,230,075?

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 85,230,075

85,230,075
Factor Arrows
328,410,025
Factor Arrows
55,682,005
Factor Arrows
51,136,401
Factor Arrows
7162,343

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:

3, 5, 7, 162343

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 162,343 = 85,230,075

This can also be written as 31 x 52 x 71 x 162,3431 = 85,230,075

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


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