Q: What are the prime factors of the number 20,030,880?

 A: 2, 3, 5, 29, 1439

Why are those the prime factors of the number 20,030,880?

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 20,030,880

20,030,880
Factor Arrows
210,015,440
Factor Arrows
25,007,720
Factor Arrows
22,503,860
Factor Arrows
21,251,930
Factor Arrows
2625,965
Factor Arrows
3208,655
Factor Arrows
541,731
Factor Arrows
291,439

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, 29, 1439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 1,439 = 20,030,880

This can also be written as 25 x 31 x 51 x 291 x 1,4391 = 20,030,880

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


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