Is 30 a Prime Number or Composite Number [Why & Why not Detailed Guide]

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Created by: Team Maths - Examples.com, Last Updated: August 2, 2024

Is 30 a Prime Number or Composite Number [Why & Why not Detailed Guide]

https://images.examples.com/wp-content/uploads/2024/03/Is-30-a-Prime-Number-or-Composite-Number.png

Is 30 a Prime Number?

No – 30 is not a prime number.

Why No: 30 is not a prime number because it does not fulfil the prime criteria of having exactly two distinct positive divisors. Instead, it has eight: 1, 2, 3, 5, 6, 10, 15, and itself (30). See any number if it’s prime number or not

https://images.examples.com/wp-content/uploads/2024/03/Is-30-a-Prime-Number.png

Is 30 a Composite Number?

YES – 30 is a Composite Number

Why Yes: This is correct; 30 is indeed a composite number because it has more than two distinct positive divisors: 1, 2, 3, 5, 6, 10, 15, and itself (30).

https://images.examples.com/wp-content/uploads/2024/03/Is-30-a-Composite-Numbers.png

Problem Statements

Property Answer
Is 30 a prime number? No
Is 30 a composite number? Yes
Is 30 a perfect square? No
Factors of 30 1, 2, 3, 5, 6, 10, 15, 30
Multiples of 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
Cube Root of 30 3.11
Square of 30 900
Square Root of 30 5.48
Is 30 a Perfect Square? No
Is 30 a Perfect Cube? No
Is 30 an Irrational number? No
Is 30 a Rational number? Yes
Is 30 a Real number? Yes
Is 30 an Integer? Yes
Is 30 a Natural number? Yes
Is 30 a Whole number? Yes
Is 30 an Even or odd number? Yes (30 is an even number)
Is 30 an Ordinal number? Yes
Is 30 a Complex number? Yes (as all real numbers are also complex numbers)

What are the factors of 30?

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. Since 30 is not a square number, its factors include 1, 2, 3, 5, 6, 10, 15, and itself. There are no more factors of 30.

What Kind of Number is 30?

  • The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
  • 30 is a composite number.
  • 30 is not one of the even prime numbers, but it is an even number.
  • 30 is considered a significant number in various contexts, including mathematics where it is known as a sphenic number.
  • 30 is a natural number.
  • 30 is a positive integer.
  • 30 is a composite number.
  • 30 is an even number.
  • 30 is a rational number.
  • 30 is a whole number.

30 is recognized as a composite number because it has more than two divisors, which distinguishes it from prime numbers that are only divisible by 1 and themselves. The number 30, being the product of the first three prime numbers (2, 3, and 5), holds a unique place in mathematics and various cultural contexts, often associated with completeness and the turning of a page.

FAQS

What are the 30 prime numbers?

The first 30 prime numbers start with 2 and end with 113, forming a unique sequence of numbers that are only divisible by 1 and themselves.

Is 30 a Whole number?

Yes, 30 is a whole number as it is a non-negative integer without fractions or decimals, fitting perfectly into the set of whole numbers

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Practice Test

Is 30 a prime number?

Yes

No

Maybe

Not enough information

of 10

Which of the following correctly classifies the number 30?

Prime

Composite

Neither

Undefined

of 10

Is 30 divisible by any number other than 1 and 30?

Yes

No

Only by 2

Only by 3

of 10

Which number is 30 NOT divisible by?

2

3

7

9

of 10

Which of the following statements about the number 30 is correct?

30 is a prime number because it ends in 0.

30 is a composite number because it has more than two factors.

30 is a prime number because it can be written as the sum of two prime numbers.

 30 is neither prime nor composite.

of 10

Is 30 a prime number because it is not a perfect square?

Yes

No

Sometimes

Not relevant

of 10

Can 30 be classified as a prime number based on its factors?

Yes, if it has exactly two factors.

No, because it has more than two factors.

Yes, if it is greater than 20.

No, if it is less than 20.

of 10

Which of the following correctly describes 30?

Prime, as it is divisible by 10.

Composite, as it is divisible by multiple numbers.

Prime, as it is a large number.

Composite, as it has only one factor

of 10

If a number has the factors 1, 2, 3, 5, 6, 10, 15, and 30, what type of number is it?

Prime

Composite

Perfect square

Even

of 10

Which property does 30 have that confirms it is not a prime number?

It is even.

It ends in 0.

 It has more than two distinct factors.

 It is greater than 20.

of 10

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