What Are the Parts of the Number 96?

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 323 = 96 can also be written as 2222223 = 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.

Misha Khatri
Misha Khatri is an emeritus professor in the University of Notre Dame's Department of Chemistry and Biochemistry. He graduated from Northern Illinois University with a BSc in Chemistry and Mathematics and a PhD in Physical Analytical Chemistry from the University of Utah.


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