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Is 1001 a Prime Number?

Is 1001 a prime number? A prime number is divisible only by 1 and itself, which means it has no other divisor except 1 and the number itself. On the contrary, composite numbers have more than two factors. To determine if 1001 is a prime number or composite, we need to divide it with numbers from 1 to 1001. To find out the answer to this question "is 1001 is a prime number" and to gain a detailed understanding of "how and why is 1001 a prime number or a composite number?" Let's learn more.

  • Is 1001 a prime number? - No
  • Is 1001 a composite number? - Yes
  • Factors of 1001 - 1, 7, 11, 13, 77, 91, 143, 1001
  • Prime Factors of 1001 - 7, 11, 13
  • Is 1001 a perfect square? - No

Is 1001 a Prime or Composite?

Is 1001 a Prime Number?

No, 1001 is not a prime number. The number 1001 is divisible by 1, 7, 11, 13, 77, 91, 143, 1001. For a number to be classified as a prime number, it should have exactly two factors. Since 1001 has more than two factors, i.e. 1, 7, 11, 13, 77, 91, 143, 1001, it is not a prime number.

Is 1001 a Prime Number?

Why is 1001 not a Prime Number?

To understand whether 1001 is prime or composite, it is important to find its factors.

Factors of 1001: 1, 7, 11, 13, 77, 91, 143, 1001

Since 1001 has more than 2 factors, we can say that 1001 is not a prime number.

☛ Prime Number Calculator

Is 1001 a Composite Number?

Yes, since 1001 has more than two factors i.e. 1, 7, 11, 13, 77, 91, 143, 1001. In other words, 1001 is a composite number because 1001 has more than 2 factors.

Problem Statements:

Is 1001 a Prime Number? No
Is 1001 a Composite Number? Yes
Is 1001 an Even Number? No
Is 1001 a Perfect Square? No
Square Root of 1001 31.638584
Is 1001 an Odd Number? Yes
Multiples of 1001 1001, 2002, 3003, 4004, 5005, 6006, 7007, 8008, 9009, 10010
Square of 1001 1002001
Cube Root of 1001 10.003309
Is 1001 a Perfect Cube? No

Fun Facts:

  • 23 is the smallest prime number having consecutive digits.
  • Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1
  • 5 is the only prime number having the last digit as 5.

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