**The whole numbers 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96 are all factors of the number 96.** Each of the numbers shown has a negative number that is also a factor of 96. Each of these numbers is a factor because it can be multiplied by a certain integer to make 96.

The best way to find the factors of a number like 96 is to divide it. When 96 is divided by a number, the quotient is a factor of 96, as is the number that is divided by 96.

96/1 = 96, so both 1 and 96 are factors;

96 divided by 2 is 48, so both 2 and 48 are factors;

Since 96/3 = 32, 3 and 32 are both factors;

96 divided by 4 is 24, so 4 and 24 are factors.

94 divided by 6 is 16, so 6 and 16 are factors.

94/8 = 12, so both 8 and 12 are factors.

The other numbers between 1 and 12 (five, seven, nine, ten, and eleven) could not be divided perfectly. No. 12 and up don’t need to be tested.

Prime factorization breaks a number up into the prime numbers that make it up. For 96, the only prime factors are 2 and 3, but you must multiply five factors of 2 by 3. For example, (25)*3 = 96 or 32*3 = 96 can also be written as 2*2*2*2*2*2*3 = 96.

Factors and multiples go together because the larger number is one multiple of each of its factors. Using factoring, a person could find the greatest common factor or least common multiple of 96 and another number.