Q: What are the prime factors of the number 20,621,520?

 A: 2, 3, 5, 9547

Why are those the prime factors of the number 20,621,520?

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 20,621,520

20,621,520
Factor Arrows
210,310,760
Factor Arrows
25,155,380
Factor Arrows
22,577,690
Factor Arrows
21,288,845
Factor Arrows
3429,615
Factor Arrows
3143,205
Factor Arrows
347,735
Factor Arrows
59,547

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, 9547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 9,547 = 20,621,520

This can also be written as 24 x 33 x 51 x 9,5471 = 20,621,520

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


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