Is 34 a prime number?
34 is not a prime number. Here is the quickest way to see it.
The answer
No. 34 is not a prime number: 2 × 17 = 34.
How to see that 34 is not prime
34 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 34.
34 has four factors: 1 and 34, plus one pair in between, 2 and 17.
Split 34 into prime factors
34 splits straight into two primes, 2 × 17, so its factor tree has only one branch.
34 in the times tables
No fact from the 2 to 12 times tables, up to × 12, makes 34. Its smallest pair, 2 × 17, needs the 17 times table, which goes past 12.
See the 17 times table, where 17 × 2 = 34 is one of the facts.
Quick checks that catch 34
- The last digit, 4, is even, so 2 goes in.
34 at a glance
- In words
- thirty-four
- In Roman numerals
- XXXIV
- Odd or even
- Even: it ends in 4
- Its factors add up to
- 54, or 20 without 34 itself, which makes 34 a deficient number
The numbers either side of 34
- 33 is not prime. Its digits add up to 3 + 3 = 6, which is a multiple of 3. That means 33 is a multiple of 3 too, so 3 is a factor. Check 33 in full
- 35 is not prime. 35 ends in 5, and every number ending in 5 or 0 is in the 5 times table, so 5 is a factor. Check 35 in full
Turn the digits round
34 backwards is 43. 43 is prime: 2, 3 and 5 do not go into it, and 7 × 7 is already past 43. Check 43 in full
Related pages
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Questions parents ask
Which prime numbers are either side of 34?
31 below it and 37 above it, a gap of 6.
What is 34 squared?
34 × 34 = 1156.
What is the smallest number with as many factors as 34?
6. It has 4 factors, the same as 34.
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.