Q: What are the prime factors of the number 111,034,152?

 A: 2, 3, 53, 61

Why are those the prime factors of the number 111,034,152?

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 111,034,152

111,034,152
Factor Arrows
255,517,076
Factor Arrows
227,758,538
Factor Arrows
213,879,269
Factor Arrows
34,626,423
Factor Arrows
31,542,141
Factor Arrows
3514,047
Factor Arrows
3171,349
Factor Arrows
533,233
Factor Arrows
5361

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, 53, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 53 x 53 x 61 = 111,034,152

This can also be written as 23 x 34 x 532 x 611 = 111,034,152

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


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