Q: What are the prime factors of the number 20,542,560?

 A: 2, 3, 5, 42797

Why are those the prime factors of the number 20,542,560?

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 20,542,560

20,542,560
Factor Arrows
210,271,280
Factor Arrows
25,135,640
Factor Arrows
22,567,820
Factor Arrows
21,283,910
Factor Arrows
2641,955
Factor Arrows
3213,985
Factor Arrows
542,797

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, 42797

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 42,797 = 20,542,560

This can also be written as 25 x 31 x 51 x 42,7971 = 20,542,560

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


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