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Is 96 a prime number?

96 is not a prime number. Here is the quickest way to see 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 the repeated primes written as powers, that is 2⁵ × 3.

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

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, which makes 96 an abundant 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

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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.

Number facts are the base of 11+ maths

Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.