Is 731 a Prime Number?

Is 731 a prime number? If a number has only two factors, i.e. 1 and the number itself, it is known as a prime number. In contrast, composite numbers have more than two factors. By this explanation, can we answer the question - is 731 a prime number? According to the definition mentioned above, we can say "No, 731 is not a prime number." Now let us take a look at the detailed solution of why is 731 a prime number or a composite number?

• Is 731 a prime number? - No
• Is 731 a composite number? - Yes
• Prime Factors of 731 - 17, 43
• Factors of 731 - 1, 17, 43, 731
• Is 731 a perfect square? - No

Is 731 a Prime Number?

No, 731 is not a prime number. The number 731 is divisible by 1, 17, 43, 731. For a number to be classified as a prime number, it should have exactly two factors. Since 731 has more than two factors, i.e. 1, 17, 43, 731, it is not a prime number.

Why is 731 not a Prime Number?

To understand whether 731 is prime or composite, it is important to find its factors.

Factors of 731: 1, 17, 43, 731

Since 731 has more than 2 factors, we can say that 731 is not a prime number.

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Is 731 a Composite Number?

Yes, since 731 has more than two factors i.e. 1, 17, 43, 731. In other words, 731 is a composite number because 731 has more than 2 factors.

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Fun Facts:

• A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 10601, 11311, 12421
• Numbers X and Y are said to be coprime if they have only one common factor that is 1.
• 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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