Q: What are the prime factors of the number 221,130,112?

 A: 2, 7, 47, 59, 89

Why are those the prime factors of the number 221,130,112?

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 221,130,112

221,130,112
Factor Arrows
2110,565,056
Factor Arrows
255,282,528
Factor Arrows
227,641,264
Factor Arrows
213,820,632
Factor Arrows
26,910,316
Factor Arrows
23,455,158
Factor Arrows
21,727,579
Factor Arrows
7246,797
Factor Arrows
475,251
Factor Arrows
5989

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, 7, 47, 59, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 47 x 59 x 89 = 221,130,112

This can also be written as 27 x 71 x 471 x 591 x 891 = 221,130,112

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


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