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Is 96 a prime number?

96 is not a prime number. Here is a way to check it.

The answer

No. 96 is not a prime number: 2 × 48 = 96.

How to see that 96 is not prime

96 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 96.

96 has 12 factors (1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96), which make 6 factor pairs.

Split 96 into prime factors

Split off the smallest prime each time, and keep going until every part is prime:

  1. 96 = 2 × 48
  2. 96 = 2 × 2 × 24
  3. 96 = 2 × 2 × 2 × 12
  4. 96 = 2 × 2 × 2 × 2 × 6
  5. 96 = 2 × 2 × 2 × 2 × 2 × 3

With repeated primes written as powers, that is 2⁵ × 3. A small raised number tells you how many times to use that factor: for example, 2³ means 2 × 2 × 2.

96 in the times tables

96 turns up in 2 different times tables, the 8 and 12: 8 × 12 and 12 × 8.

Quick checks that catch 96

  • The last digit, 6, is even, so 2 goes in.
  • The digits add up to 15, which is in the 3 times table, so 3 goes in.
  • Half of it is 48, which is still even, so 4 goes in.
  • It is even and passes the check for 3 as well, so 6 goes in.

96 at a glance

Optional extra number facts:

In words
ninety-six
In Roman numerals
XCVI
Odd or even
Even: it ends in 6
Its factors add up to
252, or 156 without 96 itself. 96 is abundant: Abundant means this sum is greater than the number.

The numbers either side of 96

  • 95 is not prime. 95 ends in 5, and every number ending in 5 or 0 is in the 5 times table, so 5 is a factor. Check 95 in full
  • 97 is prime: 2, 3, 5 and 7 do not go into it, and 11 × 11 is already past 97. Check 97 in full

Turn the digits round

96 backwards is 69. 69 is not prime. Its digits add up to 6 + 9 = 15, which is a multiple of 3. That means 69 is a multiple of 3 too, so 3 is a factor. Check 69 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 96?

89 below it and 97 above it, a gap of 8.

What is 96 squared?

96 × 96 = 9216.

What is the smallest number with as many factors as 96?

60. It has 12 factors, the same as 96.

Continue your number practice

Explore the diagnostic for another set of practice questions.