Is 1001 a prime number?

Prime Number Checker
Number

Is 1,001 a prime or composite number?

Answer

Number 1,001 is not a Prime

1,001 = 7 × 11 × 13

1,001 has 8 divisors — 1, 7, 11, 13, 77, 91, 143 and 1,001; a prime has exactly two: 1 and itself.

Primes up to √1,001

31² = 961 ≤ 1,001 < 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 divides

1,001 ÷ 7 = 143 — 7 divides 1,001, so 1,001 is composite

Nearest primes: 997 and 1,009

Related Calculations

See Also

Prime numbers list

NumberIs Prime
980No: 2² × 5 × 7²
982No: 2 × 491
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
1,160No: 2³ × 5 × 29
1,175No: 5² × 47
1,185No: 3 × 5 × 79

FAQ

Is 1,001 a prime or composite number?

Number 1,001 is not a Prime

How many factors are in a number 1,001?

8

How to check if 1,001 is prime?

Divide 1,001 by the primes in order: 31² = 961 ≤ 1,001 < 1,024 = 32², so it is enough to try primes up to 31. The first one that divides it is 7: 1,001 ÷ 7 = 143, so 1,001 is composite.

See Also