Is 64 a Prime Number or Composite Number

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Created by: Team Maths - Examples.com, Last Updated: August 26, 2024

Is 64 a Prime Number or Composite Number

Is 64 a Prime Number?

No – 64 is not a prime number.

Why No: 64 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Instead, 64 has divisors 1, 2, 4, 8, 16, 32, and 64.Use this prime number tool to see if any number is Prime or not

Is 64 a prime Number

Is 64 a Composite Number?

YES – 64 is a Composite Number.

Why Yes: 64 is a composite number because it has more than two distinct positive divisors. It has several divisors: 1, 2, 4, 8, 16, 32, and itself (64).

Is 64 a Composite Number

Problem Statements

Property Answer
Is 64 a prime number? No
Is 64 a composite number? Yes
Is 64 a perfect square? Yes
Factors of 64 1, 2, 4, 8, 16, 32, 64
Multiples of 64 64, 128, 192, 256, 320, 384, 448, 512, 576, 640
Cube Root of 64 4 (64 is a perfect cube as well)
Square of 64 4096
Square Root of 64 8
Is 64 a Perfect Cube? Yes
Is 64 an Irrational number No
Is 64 a Rational number Yes
Is 64 a Real number Yes
Is 64 an Integer Yes
Is 64 a Natural number Yes
Is 64 a Whole number Yes
Is 64 an Even or odd number Yes (64 is an even number)
Is 64 an Ordinal number Yes
Is 64 a Complex number Yes (as all real numbers are also complex numbers)

What are the Factors of 64?

The factors of 64 include 1, 2, 4, 8, 16, 32, and 64, showcasing its nature as a power of two and highlighting its divisibility by smaller powers of two.

What Kind of Number is 64?

  • 64 is not a prime number, but a composite number.
  • 64 is one of the even composite numbers.
  • 64 might not have the same widespread cultural or spiritual significance as some numbers, but it holds its place in mathematical contexts.
  • A natural number.
  • A positive integer.
  • A composite number.
  • An even number.
  • A rational number.
  • A whole number.

64 is recognized not as a prime number but as a composite number because it has divisors other than 1 and itself, specifically 1, 2, 4, 8, 16, 32, and 64. This distinguishes it from prime numbers, which have exactly two distinct positive divisors. While the number 64 may not be as frequently associated with harmony or spiritual significance in various cultures as some numbers, it serves as a reminder of the diversity and utility of numbers in mathematics. Its status as a composite and even number underscores the variety of numerical properties and their applications in different fields, highlighting the integral role of mathematics in understanding the world around us.

Nearest Prime Number of 64

The nearest prime numbers to 64 are 61 (before) and 67 (after). These are the closest prime numbers, highlighting 64’s position surrounded by prime values on the numerical line.

FAQS

No, 64 is not a prime factor. Prime factors are prime numbers that can multiply together to equal a given number. 64 is a composite number so its prime factor is 2, not 64 itself.

Negative Factors of 64?

The negative factors of 64 are -1, -2, -4, -8, -16, -32, and -64. These are simply the negatives of the positive factors, since both positive and negative numbers can be divisors.

Sum of Factors of 64?

The sum of all factors of 64, including 1, 2, 4, 8, 16, 32, and itself (64), when added together, equals 127, demonstrating the totality of its divisors.

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