Q:
# How Do You Find Factors of a Number?

**Factors are the numbers that are multiplied together to get another number.** To find the factors of a given number, the number is divided by other numbers smaller than the given number, as the factor of any number cannot be greater than the number itself.

For instance, to find the factors of 28, it is divided by numbers less than 28. Since 28 is an even number, 2 is a factor of 28. Similarly, 4, 7 and 14 also divide 28 exactly and do not leave a remainder, thus, the factors of 28 are 1, 2, 4, 7, 14 and 28. The numbers 2 and 7 are also prime numbers, so the prime factors of 28 are the numbers 2 and 7 only. Prime factors do not include any products of the factors, 4 and 14 in this example. The number 1 is not a prime number, and 2 is the only even prime number.

If the number that has to be factored is an even number, division should be started with 2. If the given number is odd, then 2 is not a factor and the smaller odd numbers such as 3, 5 or 7 should be tried.

The smallest factor of any number is always the number 1, and the largest factor of any given number is the number itself.

Learn more about Numbers-
Q:
## What Type of Number Has an Odd Number of Factors?

A: Only numbers that are perfect squares have an odd number of positive factors. All other types of numbers have an even number. However, if negative factors ... Full Answer >Filed Under: -
Q:
## How Do You Find the Greatest Common Factor?

A: To find the greatest common factor of two or more numbers, find the factors of each number, then circle the shared factors. Choose the greatest factor that... Full Answer >Filed Under: -
Q:
## What Are the Factors of 40?

A: Eight numbers are factors of 40, including 1, 2 and 4. Other factors of 40 are 5, 8, 10, 20 and 40. Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 35?

A: The prime factorization of 35 is 5 and 7. Prime factors are numbers that are only divisible by themselves and one. While every number is divisible by one, ... Full Answer >Filed Under: