Factors of 46

2. Steps to find factors of 46 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 46 using the division method, follow these steps:

• Step 1. Start dividing 46 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 46, which is 2. Divide 46 by 2 to obtain the quotient (23).
  46 ÷ 2 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
  23 ÷ 23 = 1

So, the prime factorization of 46 is, 46 = 2 x 23.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 46 as shown below:

So, the prime factorization of 46 is, 46 = 2 x 23.

3. Find factors of 46 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 46 would be the two numbers which, when multiplied, give 46 as the result.

The following table represents the calculation of factors of 46 in pairs:

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 46. They are called negative pair factors.

Hence, the negative pairs of 46 would be ( -1 , -46 ) , ( -2 , -23 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

• Each number is a factor of itself. Eg. 46 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 23, 46 are exact divisors of 46.
• 1 is a factor of every number. Eg. 1 is a factor of 46.
• Every number is a factor of zero (0), since 46 x 0 = 0.

Frequently Asked Questions

• What are the prime factors of 46?

  The factors of 46 are 1, 2, 23, 46.
  Prime factors of 46 are 2, 23.

• What is the sum of all factors of 46?

  The sum of all factors of 46 is 72.

• What are the pair factors of 46?

  Pair factors of 46 are (1,46), (2,23).

• What two numbers make 46?

  Two numbers that make 46 are 2 and 23.

• What are multiples of 46?

  First five multiples of 46 are 92, 138, 184, 230.

• Is 46 a perfect square?

  No 46 is not a perfect square.

• Which is greatest factor of 46?

  The greatest factor of 46 is 23.

• How do you factors of 46?

  Factors of 46 are 1, 2, 23, 46.

• What are five multiples of 46?

  First five multiples of 46 are 92, 138, 184, 230, 276.

Examples of Factors