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Is 46 a Prime Number or Composite Number [Why & Why not Detailed Guide]

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Created by: Team Maths - Examples.com, Last Updated: August 16, 2024

Is 46 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Is 46 a Prime Number or Composite Number

Is 46 a Prime Number?

No – 46 is not a prime number.

Why No: 46 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Instead, 46 has divisors 1, 2, 23, and 46.Check if any number is prime or not

Is 46 a Prime Number

Is 46 a Composite Number?

YES – 46 is a Composite Number

Why Yes: 46 is a composite number because it has more than two distinct positive divisors: 1, 2, 23, and itself (46).

Is 46 a Composite Number

Problem Statements

Property Answer
Is 46 a prime number? No
Is 46 a composite number? Yes
Is 46 a perfect square? No
Factors of 46 1, 2, 23, 46
Multiples of 46 46, 92, 138, 184, 230, 276, 322, 368, 414, 460
Cube Root of 46 Not a whole number
Square of 46 2116
Square Root of 46 6.782
Is 46 a Perfect Square? No
Is 46 a Perfect Cube? No
Is 46 an Irrational number No
Is 46 a Rational number Yes
Is 46 a Real number Yes
Is 46 an Integer Yes
Is 46 a Natural number Yes
Is 46 a Whole number Yes
Is 46 an Even or odd number Yes (46 is an even number)
Is 46 an Ordinal number Yes
Is 46 a Complex number Yes (as all real numbers are also complex numbers)

What are the Factors of 46?

The factors of 46, which are numbers that divide it evenly, include 1, 2, 23, and 46 itself, illustrating its composite nature.

What Kind of Number is 46?

  • 46 is not a prime number, but a composite number.
  • 46 is one of the even composite numbers.
  • 46 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.

46 is recognized not as a prime number but as a composite number because it has divisors other than 1 and itself, specifically 1, 2, 23, and 46. This distinguishes it from prime numbers, which have exactly two distinct positive divisors. While the number 46 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 46

The nearest prime numbers to 46 are 43 and 47. While 43 is the closest prime number less than 46, 47 is the closest prime number greater than 46.

FAQS

Prime Factors of 46?

The prime factors of 46, the prime numbers that multiply together to give 46, are 2 and 23. These factors are fundamental in understanding its divisibility.

Is 46 a perfect square?

No, 46 is not a perfect square. A perfect square is a number that’s the square of an integer, and 46 does not meet this criteria.

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Practice Test

Is 46 a prime number or a composite number?

Prime

Composite

Neither

Unknown

of 10

Which of the following is true about the number 46?

 It has exactly two divisors

It is divisible by 1 and itself only

It is divisible by 1, 2, 23, and 46

It is a prime number

of 10

What is the classification of 46 if it is not a prime number?

Perfect number

Composite number

Prime number

Odd number

of 10

How can you determine if 46 is a prime or composite number?

Check if 46 has only two distinct factors

Verify if 46 is divisible by any number other than 1 and itself

Confirm that 46 is greater than 100

Verify if 46 is a multiple of 10

of 10

Which numbers divide 46 without leaving a remainder?

1 and 46

1, 2, 23, and 46

2 and 23

3 and 15

of 10

If a number is divisible by 2 and 23, what can be said about the number?

It is prime

It is odd

It is composite

It is even

of 10

Which of the following statements about 46 is accurate?

It can be expressed as the product of two prime numbers

It is only divisible by 1 and itself

It has exactly four divisors

 It is a perfect square

of 10

How many total factors does the number 46 have?

2

3

4

5

of 10

What is the prime factorization of 46?

 2 × 23

2 × 2 × 23

2 × 3 × 23

2 × 11 × 23

of 10

Which description best fits the number 46?

It is a prime number divisible by 1 and itself

It is a composite number divisible by multiple factors

It is an odd number with only one factor

It is a perfect number

of 10

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