Q: What are the prime factors of the number 20,046,480?

 A: 2, 3, 5, 101, 827

Why are those the prime factors of the number 20,046,480?

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 20,046,480

20,046,480
Factor Arrows
210,023,240
Factor Arrows
25,011,620
Factor Arrows
22,505,810
Factor Arrows
21,252,905
Factor Arrows
3417,635
Factor Arrows
583,527
Factor Arrows
101827

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, 101, 827

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 101 x 827 = 20,046,480

This can also be written as 24 x 31 x 51 x 1011 x 8271 = 20,046,480

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


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