Q: What are the prime factors of the number 20,803,840?

 A: 2, 5, 16253

Why are those the prime factors of the number 20,803,840?

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 20,803,840

20,803,840
Factor Arrows
210,401,920
Factor Arrows
25,200,960
Factor Arrows
22,600,480
Factor Arrows
21,300,240
Factor Arrows
2650,120
Factor Arrows
2325,060
Factor Arrows
2162,530
Factor Arrows
281,265
Factor Arrows
516,253

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, 16253

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 5 x 16,253 = 20,803,840

This can also be written as 28 x 51 x 16,2531 = 20,803,840

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


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