Is 78 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Last Updated: August 26, 2024

Is 78 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Is 78 a Prime Number or Composite Number

Is 78 a Prime Number?

No – 78 is not a Prime Number.

Why No: 78 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 78 a Prime Number

Is 78 a Composite Number?

Yes – 78 is a Composite Number.

Why Yes: 78 is a composite number because it has more than two distinct positive divisors. It is divisible by 1, 2, 3, 6, 13, 26, 39, and itself (78).

Is 78 a Composite Number

Problem Statements

Property Answer
Is 78 a prime number? No
Is 78 a composite number? Yes
Is 78 a perfect square? No
Factors of 78 1, 2, 3, 6, 13, 26, 39, 78
Multiples of 78 78, 156, 234, 312, 390, 468, 546, 624, 702, 780
Cube Root of 78 Approximately 4.28
Square of 78 6084
Square Root of 78 Approximately 8.832
Is 78 a Perfect Cube? No
Is 78 an Irrational number No
Is 78 a Rational number Yes
Is 78 a Real number Yes
Is 78 an Irrational number Yes
Is 78 a Natural number Yes
Is 78 a Whole number Yes
Is 78 an Even or odd number Yes (78 is an even number)
Is 78 an Ordinal number Yes
Is 78 a Complex number Yes (as all real numbers are also complex numbers)

What are the factors of 78?

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78. 78 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 78?

78 is categorized as a composite number because it has more than two distinct positive divisors: 1, 2, 3, 6, 13, 26, 39, and itself.

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

78, 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, 78’s divisibility by 1, 2, 3, 6, 13, 26, 39, and itself 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 of 78

The nearest prime numbers to 78 are 73 and 79. 73 is the closest prime number less than 78, and 79 is the closest prime number greater than 78.

Why is 78 Considered a Composite Number?

78 is considered a composite number because it is divisible by numbers other than 1 and itself. The presence of additional divisors such as 2, 3, 6, 13, 26, and 39 confirms its status as a composite number.

How can you Determine if a Number is Prime or Composite?

To determine if a number is prime or composite, you can try dividing it by numbers greater than 1 and less than itself. If the number can be divided evenly by any of these numbers, it is composite. If not, it is prime.

AI Generator

Text prompt

Add Tone

10 Examples of Public speaking

20 Examples of Gas lighting

Practice Test

Is 78 a prime number?

Yes

No

It is sometimes prime

 None of the above

of 10

Which of these statements is true for the number 78?

It is a prime number

It is less than 80

 It is a perfect square

It is only divisible by 1 and 78

of 10

Which property is characteristic of the number 78?

It is a perfect square

It has exactly two factors

It can be divided by 2 and 39

It is divisible by 10

of 10

If 78 is divisible by both 2 and 3, what type of number is it?

Prime

Composite

Rational

Imaginary

of 10

Which of these numbers is a factor of 78?

21

8

39

25

of 10

What is the result of dividing 78 by 39?

2

3

1

5

of 10

Which number is NOT a divisor of 78?

1

39

22

6

of 10

Which of these statements about 78 is correct?

78 is a prime number

78 is divisible by 4

78 can be factored into 2 × 3 × 13

 78 is less than 50

of 10

What property confirms that 78 is not a prime number?

It ends in an 8

It is divisible by 3

 It is an even number

It is greater than 50

of 10

What can be said about the number 78 if it is divisible by both 2 and 3?

 It is a prime number

 It is a perfect square

It is a composite number

It is a fraction

of 10

school Ready to Test Your Knowledge?

close

Before you leave, take our quick quiz to enhance your learning!

assessment Assess Your Mastery
emoji_events Boost Your Confidence
speed Instant Results
memory Enhance Retention
event_available Prepare for Exams
repeat Reinforce Learning
👉 Start the Quiz Now