Q: What are the prime factors of the number 2,003,600?

 A: 2, 5, 5009

Why are those the prime factors of the number 2,003,600?

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 2,003,600

2,003,600
Factor Arrows
21,001,800
Factor Arrows
2500,900
Factor Arrows
2250,450
Factor Arrows
2125,225
Factor Arrows
525,045
Factor Arrows
55,009

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, 5009

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 5,009 = 2,003,600

This can also be written as 24 x 52 x 5,0091 = 2,003,600

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


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