Q: What are the prime factors of the number 102,433,230?

 A: 2, 3, 5, 1138147

Why are those the prime factors of the number 102,433,230?

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 102,433,230

102,433,230
Factor Arrows
251,216,615
Factor Arrows
317,072,205
Factor Arrows
35,690,735
Factor Arrows
51,138,147

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, 3, 5, 1138147

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 1,138,147 = 102,433,230

This can also be written as 21 x 32 x 51 x 1,138,1471 = 102,433,230

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


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