Is 113 a prime number?

Prime Number Checker
Number

Is 113 a prime or composite number?

Answer

Number 113 is a Prime

113 has exactly two divisors — 1 and 113 — so it is a prime.

Primes up to √113

10² = 100 ≤ 113 < 121 = 11², so it is enough to try primes up to 10

  • ÷2 does not divide
  • ÷3 does not divide
  • ÷5 does not divide
  • ÷7 does not divide

none of the 4 primes up to 10 divides 113 — 113 is prime

Nearest primes: 109 and 127

Related Calculations

See Also

Prime numbers list

NumberIs Prime
98No: 2 × 7²
99No: 3² × 11
100No: 2² × 5²
101Yes
102No: 2 × 3 × 17
103Yes
104No: 2³ × 13
105No: 3 × 5 × 7
106No: 2 × 53
107Yes
108No: 2² × 3³
109Yes
110No: 2 × 5 × 11
111No: 3 × 37
112No: 2⁴ × 7
113Yes
114No: 2 × 3 × 19
115No: 5 × 23
117No: 3² × 13
119No: 7 × 17
120No: 2³ × 3 × 5
121No: 11²
122No: 2 × 61
123No: 3 × 41
125No: 5³
126No: 2 × 3² × 7
127Yes
128No: 2⁷
129No: 3 × 43
130No: 2 × 5 × 13

FAQ

Is 113 a prime or composite number?

Number 113 is a Prime

How many factors are in a number 113?

2

How to check if 113 is prime?

Divide 113 by the primes in order: 10² = 100 ≤ 113 < 121 = 11², so it is enough to try primes up to 10. None of the 4 primes up to 10 divides 113, so 113 is prime.

See Also