Q: What are the prime factors of the number 20,120,848?

 A: 2, 11, 19, 547

Why are those the prime factors of the number 20,120,848?

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 20,120,848

20,120,848
Factor Arrows
210,060,424
Factor Arrows
25,030,212
Factor Arrows
22,515,106
Factor Arrows
21,257,553
Factor Arrows
11114,323
Factor Arrows
1110,393
Factor Arrows
19547

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, 11, 19, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 11 x 19 x 547 = 20,120,848

This can also be written as 24 x 112 x 191 x 5471 = 20,120,848

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


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