Is 61 a prime number?

Prime Number Checker
Number

Is 61 a prime or composite number?

Answer

Number 61 is a Prime

61 has exactly two divisors — 1 and 61 — so it is a prime.

Primes up to √61

7² = 49 ≤ 61 < 64 = 8², so it is enough to try primes up to 7

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

none of the 4 primes up to 7 divides 61 — 61 is prime

Nearest primes: 59 and 67

Related Calculations

See Also

Prime numbers list

NumberIs Prime
46No: 2 × 23
47Yes
48No: 2⁴ × 3
49No: 7²
50No: 2 × 5²
51No: 3 × 17
52No: 2² × 13
53Yes
54No: 2 × 3³
55No: 5 × 11
56No: 2³ × 7
57No: 3 × 19
58No: 2 × 29
59Yes
60No: 2² × 3 × 5
61Yes
62No: 2 × 31
63No: 3² × 7
64No: 2⁶
65No: 5 × 13
66No: 2 × 3 × 11
67Yes
68No: 2² × 17
69No: 3 × 23
70No: 2 × 5 × 7
71Yes
72No: 2³ × 3²
73Yes
74No: 2 × 37
75No: 3 × 5²

FAQ

Is 61 a prime or composite number?

Number 61 is a Prime

How many factors are in a number 61?

2

How to check if 61 is prime?

Divide 61 by the primes in order: 7² = 49 ≤ 61 < 64 = 8², so it is enough to try primes up to 7. None of the 4 primes up to 7 divides 61, so 61 is prime.

See Also