What are the factors of 145?

1 Answer
Dec 9, 2016

5 and 29

Explanation:

Factors” are the smallest integers that can be combined by multiplication to obtain the original value. They are all therefore “prime numbers”. They are extremely useful in mathematics in simplifying problems by finding least and greatest common denominators.

To factor 145 it is useful to note that it ends with a ‘5’, thus, 5 is a very good factor to start with. To “factor” it out, we divide 145 by 5, giving us TWO factors that make up 145: 5 * 29.

We see that ‘29’ is a prime number – that is, it cannot be separated into integer factors other than 29*1. Therefore, we have all of the factors for 145: 145 = 5 * 29.