Q: What are the prime factors of the number 221,020,432?

 A: 2, 23, 26113

Why are those the prime factors of the number 221,020,432?

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 221,020,432

221,020,432
Factor Arrows
2110,510,216
Factor Arrows
255,255,108
Factor Arrows
227,627,554
Factor Arrows
213,813,777
Factor Arrows
23600,599
Factor Arrows
2326,113

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, 23, 26113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 23 x 26,113 = 221,020,432

This can also be written as 24 x 232 x 26,1131 = 221,020,432

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


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