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Is 401 a Prime Number?

Is 401 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 401 is a prime number or composite, we need to divide it with numbers from 1 to 401. To find out the answer to this question "is 401 is a prime number" and to gain a detailed understanding of "how and why is 401 a prime number?" Let's learn more.

Is 401 a prime number? - Yes
Is 401 a composite number? - No
Is 401 a perfect square? - No
Factors of 401 - 1, 401
Prime Factors of 401 - 401

Yes, 401 is a prime number. The number 401 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 401 has exactly two factors, i.e. 1 and 401, it is a prime number.

Is 401 a Prime or Composite?

How is 401 a Prime Number?

To understand whether 401 is prime or composite, it is important to find its factors.

Factors of 401: 1, 401

Therefore, we can say that 401 is a prime number since it has only 2 factors.

☛ Prime Number Calculator

Is 401 a Composite Number?

No, since 401 has only two factors, i.e. 1 and 401. In other words, 401 is not a composite number because 401 doesn’t have more than 2 factors.

Problem Statements:

Is 401 a Prime Number?	Yes
Is 401 a Composite Number?	No
Square Root of 401	20.024984
Multiples of 401	401, 802, 1203, 1604, 2005, 2406, 2807, 3208, 3609, 4010
Is 401 a Perfect Cube?	No
Cube Root of 401	7.374183
Is 401 a Perfect Square?	No
Is 401 an Odd Number?	Yes
Is 401 an Even Number?	No

Fun Facts:

Euler discovered a polynomial n² + n + 41 that produces prime numbers for values of n that lie between 0 and 39 inclusive. It can generate 40 prime numbers for 0 <= n <= 39.
23 is the smallest prime number having consecutive digits.
All prime numbers don't have the last digit as 5 except the number 5.

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