Q: What are the prime factors of the number 2,621,700?

 A: 2, 3, 5, 971

Why are those the prime factors of the number 2,621,700?

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 2,621,700

2,621,700
Factor Arrows
21,310,850
Factor Arrows
2655,425
Factor Arrows
3218,475
Factor Arrows
372,825
Factor Arrows
324,275
Factor Arrows
54,855
Factor Arrows
5971

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, 971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 5 x 971 = 2,621,700

This can also be written as 22 x 33 x 52 x 9711 = 2,621,700

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


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