Q: What are the prime factors of the number 118,742,080?

 A: 2, 5, 371069

Why are those the prime factors of the number 118,742,080?

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 118,742,080

118,742,080
Factor Arrows
259,371,040
Factor Arrows
229,685,520
Factor Arrows
214,842,760
Factor Arrows
27,421,380
Factor Arrows
23,710,690
Factor Arrows
21,855,345
Factor Arrows
5371,069

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, 371069

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 371,069 = 118,742,080

This can also be written as 26 x 51 x 371,0691 = 118,742,080

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


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