Q: What are the prime factors of the number 20,440,940?

 A: 2, 5, 13, 29, 2711

Why are those the prime factors of the number 20,440,940?

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 20,440,940

20,440,940
Factor Arrows
210,220,470
Factor Arrows
25,110,235
Factor Arrows
51,022,047
Factor Arrows
1378,619
Factor Arrows
292,711

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, 13, 29, 2711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 29 x 2,711 = 20,440,940

This can also be written as 22 x 51 x 131 x 291 x 2,7111 = 20,440,940

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


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