Q: What are the prime factors of the number 222,154,460?

 A: 2, 5, 11, 19, 53147

Why are those the prime factors of the number 222,154,460?

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 222,154,460

222,154,460
Factor Arrows
2111,077,230
Factor Arrows
255,538,615
Factor Arrows
511,107,723
Factor Arrows
111,009,793
Factor Arrows
1953,147

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, 11, 19, 53147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 19 x 53,147 = 222,154,460

This can also be written as 22 x 51 x 111 x 191 x 53,1471 = 222,154,460

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


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