# Factors of 46

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

#### How to find factors of a number

 1.   Find factors of 46 using Division Method 2.   Find factors of 46 using Prime Factorization 3.   Find factors of 46 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 46

• Divide 46 by 1: 46 ÷ 1 : Remainder = 0
• Divide 46 by 2: 46 ÷ 2 : Remainder = 0
• Divide 46 by 23: 46 ÷ 23 : Remainder = 0
• Divide 46 by 46: 46 ÷ 46 : Remainder = 0

Hence, Factors of 46 are 1, 2, 23, and 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:

Factor Pair Pair Factorization
1 and 46 1 x 46 = 46
2 and 23 2 x 23 = 46

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.

• 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

Can you help Rubel to find out the product of the even factors of 46?

Factors of 46 are 1, 2, 23, 46.
Even factors of 46 are 2, 46.
Hence, product of even factors of 46 is; 2 x 46 = 92.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 46? Help her in writing all the factors.

Positive factors are 1, 2, 23, 46.
Negative factors are -1, -2, -23, -46.

How many factors are there for 46?

Factors of 46 are 1, 2, 23, 46.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 46. Can you help him find them?

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

Joey wants to write all the prime factors of 46 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 46 are 2, 23.
So in exponential form it can be written as 2 x 23.

What is prime factorization of 46?

Prime factorization of 46 is 2 x 23 = 2 x 23.

Can you help Rubel to find out the product of the even factors of 46?

Factors of 46 are 1, 2, 23, 46.
Even factors of 46 are 2, 46.
Hence, product of even factors of 46 is; 2 x 46 = 92.