Is 84 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Last Updated: August 26, 2024

Is 84 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Is 84 a Prime Number or Composite Number

Is 84 a Prime Number?

No – 84 is not a Prime Number.

Why No: 84 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Check if any number is prime or not.

Is 84 a Prime Number

Is 84 a Composite Number?

Yes – 84 is a Composite Number.

Why Yes: 84 is a composite number because it has more than two distinct positive divisors. It is divisible by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and itself (84).

Is 84 a Composite Number

Problem Statements

Property Answer
Is 84 a prime number? No
Is 84 a composite number? Yes
Is 84 a perfect square? No
Factors of 84 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Multiples of 84 84, 168, 252, 336, 420, 504, 588, 672, 756, 840
Cube Root of 84 Approximately 4.379
Square of 84 7056
Square Root of 84 Approximately 9.165
Is 84 a Perfect Cube? No
Is 84 an Irrational number No
Is 84 a Rational number Yes
Is 84 a Real number Yes
Is 84 an Integer Yes
Is 84 a Natural number Yes
Is 84 a Whole number Yes
Is 84 an Even or odd number Yes (84 is an even number)
Is 84 an Ordinal number Yes
Is 84 a Complex number Yes (as all real numbers are also complex numbers)

What are the factors of 84?

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. 84 is not a prime number because it is divisible by numbers other than 1 and itself, demonstrating it has more than two factors. This clarity confirms that it is a composite number, not a prime number

What Kind of Number is 84?

84 is categorized as a composite number because it has more than two distinct positive divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and itself.

  • 84 is one of the even numbers; it is an even number.
  • 84 holds significance in various contexts, potentially for its unique properties as a composite number.
  • 84 is a natural number.
  • 84 is a positive integer.
  • 84 is discussed in the context of composite numbers rather than prime numbers.
  • 84 is an even number.
  • 84 is a rational number.
  • 84 is a whole number.

84, as a composite number, occupies a different position in mathematics compared to prime numbers. Unlike a prime number that is divisible only by 1 and itself, 84’s divisibility by its multiple factors illustrates its composite nature. Its properties as an even number, a composite, and a natural number make it an interesting figure in various mathematical discussions.

Nearest Prime Number to 84

The nearest prime numbers to 84 are 83 and 89. 83 is the closest prime number less than 84, and 89 is the closest prime number greater than 84

What is the greatest prime factor of 84?

The greatest prime factor of 84 is 7. When 84 is factored into its prime components, it breaks down into 2 × 2 × 3 × 7, with 7 being the largest prime factor.

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Practice Test

 Is the number 84 a prime number?

Yes

No

Sometimes

Cannot be determined

of 10

Is 84 a prime number or a composite number?

Prime

Both

Neither

Composite

of 10

Which of the following statements is true about 84?

84 is divisible by 2

84 is divisible by 11

84 is a prime number

84 is a perfect square

of 10

What is the smallest prime number that divides 84?

1

2

3

7

of 10

 Which of the following is a characteristic of composite numbers like 84?

They have exactly two distinct positive divisors.

They can be expressed as a product of prime numbers.

They are always odd.

They cannot be divided by any number other than 1 and itself.

of 10

Which number less than 84 is a prime factor of 84?

5

8

2

9

of 10

What is the sum of the prime factors of 84?

12

14

18

21

of 10

 Which of the following is not a factor of 84?

6

8

9

12

of 10

 How many prime factors does 84 have?

1

2

3

4

of 10

Which of the following factors is the largest divisor of 84 that is also a prime number?

2

3

6

7

of 10

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