Q: What are the prime factors of the number 4,420,020?

 A: 2, 3, 5, 11, 37, 181

Why are those the prime factors of the number 4,420,020?

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 4,420,020

4,420,020
Factor Arrows
22,210,010
Factor Arrows
21,105,005
Factor Arrows
3368,335
Factor Arrows
573,667
Factor Arrows
116,697
Factor Arrows
37181

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, 11, 37, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 37 x 181 = 4,420,020

This can also be written as 22 x 31 x 51 x 111 x 371 x 1811 = 4,420,020

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


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