Q: What are the prime factors of the number 2,139,520?

 A: 2, 5, 3343

Why are those the prime factors of the number 2,139,520?

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 2,139,520

2,139,520
Factor Arrows
21,069,760
Factor Arrows
2534,880
Factor Arrows
2267,440
Factor Arrows
2133,720
Factor Arrows
266,860
Factor Arrows
233,430
Factor Arrows
216,715
Factor Arrows
53,343

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, 3343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3,343 = 2,139,520

This can also be written as 27 x 51 x 3,3431 = 2,139,520

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


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