Q: What are the prime factors of the number 20,036,520?

 A: 2, 3, 5, 7, 7951

Why are those the prime factors of the number 20,036,520?

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 20,036,520

20,036,520
Factor Arrows
210,018,260
Factor Arrows
25,009,130
Factor Arrows
22,504,565
Factor Arrows
3834,855
Factor Arrows
3278,285
Factor Arrows
555,657
Factor Arrows
77,951

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, 7, 7951

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7,951 = 20,036,520

This can also be written as 23 x 32 x 51 x 71 x 7,9511 = 20,036,520

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


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