Is 421 a Prime Number?

Is 421 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 421 is a prime number or composite, we need to divide it with numbers from 1 to 421. To find out the answer to this question "is 421 is a prime number" and to gain a detailed understanding of "how and why is 421 a prime number?" Let's learn more.

• Is 421 a prime number? - Yes
• Is 421 a composite number? - No
• Prime Factors of 421 - 421
• Is 421 a perfect square? - No
• Factors of 421 - 1, 421

Is 421 a Prime Number?

Yes, 421 is a prime number. The number 421 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 421 has exactly two factors, i.e. 1 and 421, it is a prime number.

How is 421 a Prime Number?

To understand whether 421 is prime or composite, it is important to find its factors.

Factors of 421: 1, 421

Therefore, we can say that 421 is a prime number since it has only 2 factors.

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Is 421 a Composite Number?

No, since 421 has only two factors, i.e. 1 and 421. In other words, 421 is not a composite number because 421 doesn’t have more than 2 factors.

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Fun Facts:

• Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 89 is a prime number and it can be written as 89 = 6 × 15 - 1
• All primes except 2 are odd.
• 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.

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