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Is 441 a Prime Number?

Is 441 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 441 is a prime number or composite, we need to divide it with numbers from 1 to 441. To find out the answer to this question "is 441 is a prime number" and to gain a detailed understanding of "how and why is 441 a prime number or a composite number?" Let's learn more.

  • Is 441 a prime number? - No
  • Is 441 a composite number? - Yes
  • Prime Factors of 441 - 3, 7
  • Factors of 441 - 1, 3, 7, 9, 21, 49, 63, 147, 441
  • Is 441 a perfect square? - Yes

Is 441 a Prime or Composite?

Is 441 a Prime Number?

No, 441 is not a prime number. The number 441 is divisible by 1, 3, 7, 9, 21, 49, 63, 147, 441. For a number to be classified as a prime number, it should have exactly two factors. Since 441 has more than two factors, i.e. 1, 3, 7, 9, 21, 49, 63, 147, 441, it is not a prime number.

Is 441 a Prime Number?

Why is 441 not a Prime Number?

To understand whether 441 is prime or composite, it is important to find its factors.

Factors of 441: 1, 3, 7, 9, 21, 49, 63, 147, 441

Since 441 has more than 2 factors, we can say that 441 is not a prime number.

☛ Prime Number Calculator

Is 441 a Composite Number?

Yes, since 441 has more than two factors i.e. 1, 3, 7, 9, 21, 49, 63, 147, 441. In other words, 441 is a composite number because 441 has more than 2 factors.

Problem Statements:

Is 441 a Prime Number? No
Is 441 a Composite Number? Yes
Square Root of 441 21
Is 441 a Perfect Square? Yes
Is 441 an Odd Number? Yes
Cube Root of 441 7.611647
Is 441 an Even Number? No
Is 441 a Perfect Cube? No
Square of 441 194481
Multiples of 441 441, 882, 1323, 1764, 2205, 2646, 3087, 3528, 3969, 4410

Fun Facts:

  • 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.
  • Numbers X and Y are said to be coprime if they have only one common factor that is 1.

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