# What Are the 96 Factors?

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96 are the whole-number factors of the number 96. Each of the shown integers’ inverse or negative is also a factor of 96. Because each of these numbers may be multiplied by a specific integer to obtain 96, they are factors.

The easiest way to find the factors of a number like 96 is to divide it. Each number (or divisor) divided by 96 that produces an integer quotient, as well as the quotient itself, is a factor of 96.

1 and 96 are factors because 96/1 = 96.

2 and 48 are factors in 96/2 = 48.

3 and 32 are factors in 96/3 = 32.

4 and 24 are factors in 96/4 = 24.

6 and 16 are factors in 94/6 = 16.

Because 94/8 = 12, the numbers 8 and 12 are factors.

The other numbers in the range of 1 to 12 (5, 7, 9, 10, 11) could not be divided completely. Numbers 12 and up do not require testing.

A number is divided into its prime number factors using prime factorization. Two and three are the only prime factors in 96, however five factors of two must be multiplied by three. 2222223 = 96, for example, which can alternatively be written as (25)3 = 96 or 323 = 96.

Because the greater number is one multiple of each of its factors, factors and multiples are intimately related. The greatest common factor or least common multiple of 96 and another number can be found by factoring. 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.