Q: What are the prime factors of the number 445,353,220?

 A: 2, 5, 13, 139, 12323

Why are those the prime factors of the number 445,353,220?

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 445,353,220

445,353,220
Factor Arrows
2222,676,610
Factor Arrows
2111,338,305
Factor Arrows
522,267,661
Factor Arrows
131,712,897
Factor Arrows
13912,323

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, 139, 12323

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 139 x 12,323 = 445,353,220

This can also be written as 22 x 51 x 131 x 1391 x 12,3231 = 445,353,220

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


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