Q: What are the prime factors of the number 2,640,200?

 A: 2, 5, 43, 307

Why are those the prime factors of the number 2,640,200?

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 2,640,200

2,640,200
Factor Arrows
21,320,100
Factor Arrows
2660,050
Factor Arrows
2330,025
Factor Arrows
566,005
Factor Arrows
513,201
Factor Arrows
43307

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, 5, 43, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 43 x 307 = 2,640,200

This can also be written as 23 x 52 x 431 x 3071 = 2,640,200

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


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