Is 92 a prime number?
92 is not a prime number. Here is a way to check it.
The answer
No. 92 is not a prime number: 2 × 46 = 92.
How to see that 92 is not prime
92 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 92.
92 has 6 factors (1, 2, 4, 23, 46 and 92), which make 3 factor pairs.
Split 92 into prime factors
Split off the smallest prime each time, and keep going until every part is prime:
- 92 = 2 × 46
- 92 = 2 × 2 × 23
With repeated primes written as powers, that is 2² × 23. A small raised number tells you how many times to use that factor: for example, 2³ means 2 × 2 × 2.
92 in the times tables
No fact from the 2 to 12 times tables, up to × 12, makes 92. Its smallest pair, 2 × 46, needs the 46 times table, which goes past 12.
Quick checks that catch 92
- The last digit, 2, is even, so 2 goes in.
- Half of it is 46, which is still even, so 4 goes in.
92 at a glance
Optional extra number facts:
- In words
- ninety-two
- In Roman numerals
- XCII
- Odd or even
- Even: it ends in 2
- Its factors add up to
- 168, or 76 without 92 itself. 92 is deficient: Deficient means this sum is less than the number.
The numbers either side of 92
- 91 is not prime. 91 is odd, its digits do not add up to a multiple of 3, and it does not end in 5, so the quick checks for 2, 3 and 5 all fail. Try 7 next: 7 × 13 = 91. Check 91 in full
- 93 is not prime. Its digits add up to 9 + 3 = 12, which is a multiple of 3. That means 93 is a multiple of 3 too, so 3 is a factor. Check 93 in full
Turn the digits round
92 backwards is 29. 29 is prime: 2, 3 and 5 do not go into it, and 7 × 7 is already past 29. Check 29 in full
Related pages
More numbers
Questions parents ask
Which prime numbers are either side of 92?
89 below it and 97 above it, a gap of 8.
What is 92 squared?
92 × 92 = 8464.
What is the smallest number with as many factors as 92?
12. It has 6 factors, the same as 92.
Continue your number practice
Explore the diagnostic for another set of practice questions.