Q: What are the prime factors of the number 3,939,520?

 A: 2, 5, 13, 947

Why are those the prime factors of the number 3,939,520?

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 3,939,520

3,939,520
Factor Arrows
21,969,760
Factor Arrows
2984,880
Factor Arrows
2492,440
Factor Arrows
2246,220
Factor Arrows
2123,110
Factor Arrows
261,555
Factor Arrows
512,311
Factor Arrows
13947

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, 13, 947

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 5 x 13 x 947 = 3,939,520

This can also be written as 26 x 51 x 131 x 9471 = 3,939,520

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


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