Q: What are the prime factors of the number 47,040?

 A: 2, 3, 5, 7

Why are those the prime factors of the number 47,040?

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 47,040

47,040
Factor Arrows
223,520
Factor Arrows
211,760
Factor Arrows
25,880
Factor Arrows
22,940
Factor Arrows
21,470
Factor Arrows
2735
Factor Arrows
3245
Factor Arrows
549
Factor Arrows
77

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, 7

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 3 x 5 x 7 x 7 = 47,040

This can also be written as 26 x 31 x 51 x 72 = 47,040

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


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