Is 29 a prime number?
29 is a prime number. Here is how to check it, one division at a time.
The answer
Yes. 29 is a prime number: its only factors are 1 and 29.
How to check that 29 is prime
Try dividing 29 by the prime numbers, starting with 2. You only need primes: if 4 went into 29, then 2 would too.
- 29 ÷ 2 = 14 remainder 1, so 2 is not a factor.
- 29 ÷ 3 = 9 remainder 2, so 3 is not a factor.
- 29 ÷ 5 = 5 remainder 4, so 5 is not a factor.
Stop at 7: 7 × 7 = 49, which is more than 29. Any factor bigger than that would need a partner smaller than 7, and you have already tried those. So 29 is prime.
Where 29 comes among the primes
29 is the 10th prime number. The prime just before it is 23.
There are 25 prime numbers up to 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
Around 29
- 29 is not in any times table from 2 to 12. The answers either side of it are 28 (4 × 7 and 7 × 4) and 30 (3 × 10, 5 × 6, 6 × 5 and 10 × 3).
- The nearest square number is 25 (5 × 5), 4 below it.
29 at a glance
Optional extra number facts:
- In words
- twenty-nine
- In Roman numerals
- XXIX
- Odd or even
- Odd: it ends in 9
- Its factors add up to
- 30, or 1 without 29 itself. 29 is deficient: Deficient means this sum is less than the number.
Related pages
More numbers
Questions parents ask
Is 29 one of a pair of twin primes?
Yes. Twin primes are two primes 2 apart, and 29 pairs with 31.
What is the next prime number after 29?
31, which is 2 more than 29. Every number in between has a factor other than 1 and itself.
What is 29 × 29?
29 × 29 = 841. The square of a prime has exactly three factors: 1, 29 and 841.
Continue your number practice
Explore the diagnostic for another set of practice questions.