Q: What are the prime factors of the number 20,440,511?

 A: 7, 13, 17, 73, 181

Why are those the prime factors of the number 20,440,511?

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 20,440,511

20,440,511
Factor Arrows
72,920,073
Factor Arrows
13224,621
Factor Arrows
1713,213
Factor Arrows
73181

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:

7, 13, 17, 73, 181

We can check our work by multiplying all of the prime factors together: 7 x 13 x 17 x 73 x 181 = 20,440,511

This can also be written as 71 x 131 x 171 x 731 x 1811 = 20,440,511

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


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