Q: What are the prime factors of the number 20,555,520?

 A: 2, 3, 5, 53, 101

Why are those the prime factors of the number 20,555,520?

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 20,555,520

20,555,520
Factor Arrows
210,277,760
Factor Arrows
25,138,880
Factor Arrows
22,569,440
Factor Arrows
21,284,720
Factor Arrows
2642,360
Factor Arrows
2321,180
Factor Arrows
2160,590
Factor Arrows
280,295
Factor Arrows
326,765
Factor Arrows
55,353
Factor Arrows
53101

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, 53, 101

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 2 x 2 x 3 x 5 x 53 x 101 = 20,555,520

This can also be written as 28 x 31 x 51 x 531 x 1011 = 20,555,520

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


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