Q: What are the prime factors of the number 20,787,200?

 A: 2, 5, 7, 29

Why are those the prime factors of the number 20,787,200?

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 20,787,200

20,787,200
Factor Arrows
210,393,600
Factor Arrows
25,196,800
Factor Arrows
22,598,400
Factor Arrows
21,299,200
Factor Arrows
2649,600
Factor Arrows
2324,800
Factor Arrows
2162,400
Factor Arrows
281,200
Factor Arrows
240,600
Factor Arrows
220,300
Factor Arrows
210,150
Factor Arrows
25,075
Factor Arrows
51,015
Factor Arrows
5203
Factor Arrows
729

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, 5, 7, 29

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 2 x 2 x 2 x 2 x 5 x 5 x 7 x 29 = 20,787,200

This can also be written as 212 x 52 x 71 x 291 = 20,787,200

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


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