Q: What are the prime factors of the number 657,240,600?

 A: 2, 3, 5, 1095401

Why are those the prime factors of the number 657,240,600?

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 657,240,600

657,240,600
Factor Arrows
2328,620,300
Factor Arrows
2164,310,150
Factor Arrows
282,155,075
Factor Arrows
327,385,025
Factor Arrows
55,477,005
Factor Arrows
51,095,401

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, 5, 1095401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 1,095,401 = 657,240,600

This can also be written as 23 x 31 x 52 x 1,095,4011 = 657,240,600

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


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