Is 72 a Prime Number?
Is 72 a prime number? How do you know that 72 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 72? Is 72 a prime number? "No, 72 is not a prime number." Since 72 has more than 2 factors i.e. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, it is a composite number. Let's study this in detail.
- Is 72 a prime number? - No
- Is 72 a composite number? - Yes
- Prime Factors of 72 - 2, 3
- Factors of 72 - 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Is 72 a perfect square? - No
Is 72 a Prime Number?
No, 72 is not a prime number. The number 72 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. For a number to be classified as a prime number, it should have exactly two factors. Since 72 has more than two factors, i.e. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, it is not a prime number.
Why is 72 not a Prime Number?
To understand whether 72 is composite or prime, it is important to find its factors.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Since 72 has more than 2 factors, we can say that 72 is not a prime number.
Is 72 a Composite Number?
Yes, since 72 has more than two factors i.e. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. In other words, 72 is a composite number because 72 has more than 2 factors.
Problem Statements:
Is 72 a Prime Number? | No |
Is 72 a Composite Number? | Yes |
Is 72 a Perfect Square? | No |
Is 72 a Perfect Cube? | No |
Cube Root of 72 | 4.160162 |
Square of 72 | 5184 |
Is 72 an Even Number? | Yes |
Multiples of 72 | 72, 144, 216, 288, 360, 432, 504, 576, 648, 720 |
Is 72 an Odd Number? | No |
Square Root of 72 | 8.485281 |
Fun Facts:
- 2 is the smallest prime number.
- 23 is the smallest prime number having consecutive digits.
- A semiprime number is a composite number that is the product of exactly two prime numbers. Example - 115 is semiprime, since 115 can be written as 5 × 23.
☛ Also Check:
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- Is 37 a Prime Number? - Yes
- Is 63 a Prime Number? - No
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- Is 119 a Prime Number? - No
- Is 102 a Prime Number? - No
- Is 2009 a Prime Number? - No
- Is 625 a Prime Number? - No
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