Q: What are the prime factors of the number 32,220,144?

 A: 2, 3, 11, 20341

Why are those the prime factors of the number 32,220,144?

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 32,220,144

32,220,144
Factor Arrows
216,110,072
Factor Arrows
28,055,036
Factor Arrows
24,027,518
Factor Arrows
22,013,759
Factor Arrows
3671,253
Factor Arrows
3223,751
Factor Arrows
1120,341

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, 11, 20341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 11 x 20,341 = 32,220,144

This can also be written as 24 x 32 x 111 x 20,3411 = 32,220,144

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


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