Mathematical Properties of 113

Explore the fascinating mathematical properties of the number 113. This section covers everything from prime factors to square roots and numerical representations.

Prime Number Status

113 is a prime number. It has exactly two factors: 1 and 113.

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Square Root

The square root of 113 is approximately 10.63014581. It's an irrational number.

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Factors

The factors of 113 are 1 and 113, since 113 is a prime number.

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113 in Different Number Systems

Explore 113 in binary, hexadecimal, octal, and other number systems.

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Divisibility

113 is divisible only by 1 and itself (113).

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Mathematical Sequences

Discover 113's role in various mathematical sequences and patterns.

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Quick Facts About 113 in Mathematics

  • 113 is the 30th prime number
  • 113 is an emirp (113 backwards, 311, is also prime)
  • The sum of its digits (1+1+3) is 5, which is also prime
  • 113 in binary is 1110001
  • 113 in hexadecimal is 71
  • 113 in octal is 161

Interactive Math Tools

Prime Factorization Calculator

Find the prime factorization of any number and compare with 113.

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GCD and LCM Calculator

Calculate the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of 113 and any other number.

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Number Properties Analyzer

Analyze the properties of 113 and compare with other numbers.

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Frequently Asked Questions

Is 113 a prime number?

Yes, 113 is a prime number because it is only divisible by 1 and itself (113).

What is the square root of 113?

The square root of 113 is approximately 10.63014581. It is an irrational number.

What are the factors of 113?

The factors of 113 are 1 and 113, since 113 is a prime number.

Is 113 a perfect square?

No, 113 is not a perfect square. The closest perfect squares are 100 (10²) and 121 (11²).

Is 113 an even or odd number?

113 is an odd number because it is not divisible by 2.