Is 48 a Prime Number?

Is 48 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 48 a prime number? According to the definition mentioned above, we can say "No, 48 is not a prime number." Now let us take a look at the detailed solution of why is 48 a prime number or a composite number?

• Is 48 a prime number? - No
• Is 48 a composite number? - Yes
• Prime Factors of 48 - 2, 3
• Is 48 a perfect square? - No
• Factors of 48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Is 48 a Prime Number?

No, 48 is not a prime number. The number 48 is divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. For a number to be classified as a prime number, it should have exactly two factors. Since 48 has more than two factors, i.e. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, it is not a prime number.

Why is 48 not a Prime Number?

To understand whether 48 is composite or prime, it is important to find its factors.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Since 48 has more than 2 factors, we can say that 48 is not a prime number.

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Is 48 a Composite Number?

Yes, since 48 has more than two factors i.e. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. In other words, 48 is a composite number because 48 has 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 - 71 is a prime number and it can be written as 71 = 6 × 12 - 1
• A perfect square (square number) is always a composite number.
• Numbers X and Y are said to be coprime if they have only one common factor that is 1.

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