Q: What are the prime factors of the number 111,301,200?

 A: 2, 3, 5, 43, 719

Why are those the prime factors of the number 111,301,200?

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 111,301,200

111,301,200
Factor Arrows
255,650,600
Factor Arrows
227,825,300
Factor Arrows
213,912,650
Factor Arrows
26,956,325
Factor Arrows
32,318,775
Factor Arrows
3772,925
Factor Arrows
5154,585
Factor Arrows
530,917
Factor Arrows
43719

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, 5, 43, 719

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 5 x 5 x 43 x 719 = 111,301,200

This can also be written as 24 x 32 x 52 x 431 x 7191 = 111,301,200

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


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