Is 137 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Last Updated: August 27, 2024

Is 137 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Is 137 a Prime Number or Composite Number

Is 137 a Prime Number?

Yes – 137 is a Prime Number.

Why Yes: 137 is a prime number because it meets the prime criteria of having exactly two distinct positive divisors: 1 and itself. Check Prime or Not

Is 137 a Prime Number

Is 137 a Composite Number?

No – 137 is not a Composite Number.

Why No: 137 is not a composite number because it does not have more than two distinct positive divisors. It is only divisible by 1 and itself (137).

Is 137 a Composite Number

Problem Statements

Property Answer
Is 137 a prime number? Yes
Is 137 a composite number? No
Is 137 a perfect square? No
Factors of 137 1, 137
Multiples of 137 137, 274, 411, 548, 685, 822, 959, 1096, 1233, 1370
Cube Root of 137 5.15
Square of 137 18769
Square Root of 137 11.705
Is 137 a Perfect Cube? No
Is 137 an Irrational number No
Is 137 a Rational number Yes
Is 137 a Real number Yes
Is 137 an Integer Yes
Is 137 a Natural number Yes
Is 137 a Whole number Yes
Is 137 an Even or odd number Yes (137 is an odd number)
Is 137 an Ordinal number Yes
Is 137 a Complex number Yes (as all real numbers are also complex numbers)

What are the factors of 137?

The factors of 137 are 1 and 137. 137 is a prime number because it is only divisible by 1 and itself, demonstrating it has exactly two factors. This clarity confirms that it is a prime number, not a composite number.

What Kind of Number is 137?

137 is categorized as a prime number because it has exactly two distinct positive divisors: 1 and itself.

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

137, as a prime number, occupies a distinguished position in mathematics, contrasting with composite numbers. Being divisible only by 1 and itself, 137’s status as a prime number underscores its uniqueness. Its properties as an odd number, a prime, and a natural number make it a noteworthy figure in various mathematical discussions.

Nearest Prime Number of 137

The nearest prime numbers to 137 are 131 and 139. 131 is the closest prime number less than 137, and 139 is the closest prime number greater than 137.

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Practice Test

How many divisors does 137 have?

1

2

3

4

of 10

Is 137 a prime number?

Yes

 No

Only if it is divisible by 2

Only if it is divisible by 3

of 10

Which of the following numbers is a prime number?

136

137

138

139

of 10

What is the sum of the divisors of 137?

136

137

138

139

of 10

Which statement is true about the number 137?

 It is an even number

It is a prime number

It is a composite number

It is divisible by 5

of 10

Is 137 divisible by any prime number smaller than itself?

Yes, 3

Yes, 5

Yes, 7

No

of 10

Which property does 137 have?

It is an even number

It is a composite number

It is a prime number

It is a multiple of 10

of 10

How do you confirm if 137 is a prime number?

Divide it by 2

Check if it is divisible by any number other than 1 and itself

Divide it by 10

Check if it is divisible by 5

of 10

What is the result when you divide 137 by 2?

68

68.5

69

70

of 10

What type of number is 137 based on its factors?

Even

Odd

Prime

Composite

of 10

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