Q: What are the prime factors of the number 2,061,200?

 A: 2, 5, 5153

Why are those the prime factors of the number 2,061,200?

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 2,061,200

2,061,200
Factor Arrows
21,030,600
Factor Arrows
2515,300
Factor Arrows
2257,650
Factor Arrows
2128,825
Factor Arrows
525,765
Factor Arrows
55,153

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, 5153

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 5,153 = 2,061,200

This can also be written as 24 x 52 x 5,1531 = 2,061,200

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


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