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    Is 997 a prime number?

    Prime Number Checker
    Number

    Is 997 a prime or composite number?

    Answer

    Number 997 is a Prime

    997 has exactly two divisors — 1 and 997 — so it is a prime.

    Primes up to √997

    31² = 961 ≤ 997 < 1,024 = 32², so it is enough to try primes up to 31

    • ÷2 does not divide
    • ÷3 does not divide
    • ÷5 does not divide
    • ÷7 does not divide
    • ÷11 does not divide
    • ÷13 does not divide
    • ÷17 does not divide
    • ÷19 does not divide
    • ÷23 does not divide
    • ÷29 does not divide
    • ÷31 does not divide

    none of the 11 primes up to 31 divides 997 — 997 is prime

    Nearest primes: 991 and 1,009

    Related Calculations

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    Is 997 a prime number? Is 997 a prime number? 997 is a prime number. Check if any number is prime or composite with our free online prime checker.
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    Prime numbers list

    NumberIs Prime
    973No: 7 × 139
    977Yes
    978No: 2 × 3 × 163
    979No: 11 × 89
    980No: 2² × 5 × 7²
    983Yes
    986No: 2 × 17 × 29
    987No: 3 × 7 × 47
    988No: 2² × 13 × 19
    989No: 23 × 43
    990No: 2 × 3² × 5 × 11
    991Yes
    993No: 3 × 331
    994No: 2 × 7 × 71
    996No: 2² × 3 × 83
    997Yes
    999No: 3³ × 37
    1,000No: 2³ × 5³
    1,001No: 7 × 11 × 13
    1,005No: 3 × 5 × 67
    1,010No: 2 × 5 × 101
    1,015No: 5 × 7 × 29
    1,020No: 2² × 3 × 5 × 17
    1,025No: 5² × 41
    1,050No: 2 × 3 × 5² × 7
    1,051Yes
    1,085No: 5 × 7 × 31
    1,100No: 2² × 5² × 11
    1,111No: 11 × 101
    1,140No: 2² × 3 × 5 × 19

    FAQ

    Is 997 a prime or composite number?

    Number 997 is a Prime

    How many factors are in a number 997?

    2

    How to check if 997 is prime?

    Divide 997 by the primes in order: 31² = 961 ≤ 997 < 1,024 = 32², so it is enough to try primes up to 31. None of the 11 primes up to 31 divides 997, so 997 is prime.

    See Also