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Is 73 a Prime Number?

Is 73 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 73 is a prime number or composite, we need to divide it with numbers from 1 to 73. To find out the answer to this question "is 73 is a prime number" and to gain a detailed understanding of "how and why is 73 a prime number?" Let's learn more.

Is 73 a prime number? - Yes
Is 73 a composite number? - No
Factors of 73 - 1, 73
Prime Factors of 73 - 73
Is 73 a perfect square? - No

Yes, 73 is a prime number. The number 73 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 73 has exactly two factors, i.e. 1 and 73, it is a prime number.

Is 73 a Prime or Composite?

How is 73 a Prime Number?

To understand whether 73 is prime or composite, it is important to find its factors.

Factors of 73: 1, 73

Therefore, we can say that 73 is a prime number since it has only 2 factors.

☛ Prime Number Calculator

Is 73 a Composite Number?

No, since 73 has only two factors, i.e. 1 and 73. In other words, 73 is not a composite number because 73 doesn’t have more than 2 factors.

Problem Statements:

Is 73 a Prime Number?	Yes
Is 73 a Composite Number?	No
Multiples of 73	73, 146, 219, 292, 365, 438, 511, 584, 657, 730
Is 73 a Perfect Cube?	No
Is 73 an Odd Number?	Yes
Square Root of 73	8.544004
Is 73 an Even Number?	No
Is 73 a Perfect Square?	No
Cube Root of 73	4.179333

Fun Facts:

A perfect cube is always a composite number.
1 is neither prime nor composite.
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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