Q: What are the prime factors of the number 118,467,440?

 A: 2, 5, 7, 13, 16273

Why are those the prime factors of the number 118,467,440?

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 118,467,440

118,467,440
Factor Arrows
259,233,720
Factor Arrows
229,616,860
Factor Arrows
214,808,430
Factor Arrows
27,404,215
Factor Arrows
51,480,843
Factor Arrows
7211,549
Factor Arrows
1316,273

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, 7, 13, 16273

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 13 x 16,273 = 118,467,440

This can also be written as 24 x 51 x 71 x 131 x 16,2731 = 118,467,440

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


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