# Factors of 46

When multiplying 2 and 8, we get 16, i.e. 2 × 8 = 16. Here, 2 and 8 are the factors of 16. In the same way, we can find the factors of the number 46. Factors of 46 are defined as the numbers (including both positive and negative numbers), which get multiplied and produce the result as 46. In this article, you will understand the factors of 46, how to find the factors of a number 46 and prime factors of 46 in detailed steps.

## What are the Factors of 46?

Factors of 46 are all the integers that we can evenly divide 46 into specific numbers. As we know, any number divided by its factor will be equal to one of the other factors. Thus, when we divide 46 with its factor, it will be equal to another factor.

We know that 46 is a composite number, that means it has more than two factors. Thus, 46 contains other factors apart from 1 and 46.

 Factors of 46 1, 2, 23, and 46

Therefore, the factors of 46 are the exact divisors of that number.

## How to Calculate the Factors of 46?

Below are the steps to find the factors for 46.

Step 1: First, write the number 46 in your notebook.

Step 2: Find the two numbers, which on multiplication gives 46, say 2 and 23, such as 2 × 23 = 46.

Step 3: We know that 2 is a prime number which has only two factors, i.e. 1 and the number itself. So, we cannot factorize it further.

2 = 1 × 2

Step 4: 23 is also a prime number and cannot be factorized.

23 = 1 × 23

Step 5: Therefore, the factorization of 46 gives us 1 × 2 × 23.

The unique numbers which are obtained here are: 1, 2, 23 and 46

### Factor pairs of 46

To find the pair factors of 46, multiply the 2 numbers in a pair to have the original number as 46. Such numbers are as follows:

 Positive factor pairs Negative factor pairs 1 × 46 = 46; (1, 46) (-1) × (-46) = 46 2 × 23 = 46; (2, 23) (-2) × (-23) = 46 23 × 2 = 46; (23, 2) (-23) × (-2) = 46 46 × 1 = 46; (46, 1) (-46) × (-1) = 46

Therefore, the positive factors of 46 are: 1, 2, 23, and 46.

Also, the negative pair factors of 46 are (-1, -46), (-2, -23), (-23, -2), and (-46, -1).

Hence, the negative factors of the number 46 are -1, -2, -23, and -46.

Interesting Facts about Factors of 46:

• The sum of all factors of 46 is 72, i.e. 1 + 2 + 23 + 46 = 72.
• The number 46 contains only one even factor other than 46 and only one odd factor other than 1.
• The product of all the factors of 46 is equal to the square of 46, that means 1 × 2 × 23 × 46 = 46 × 46 = 462 = 2116.

### How to calculate Prime Factors of 46?

By prime factorization method, we can write the prime factors of 46 as given below.

The first step is to divide the number 46 with the smallest prime number, i.e. 2.

46 ÷ 2 = 23

Here, 2 and 23 are the prime numbers, so we cannot proceed with the division method.

Thus, the prime factorisation of 46 can be written as 2 × 23.

## Frequently Asked Questions on Factors of 46

### What are the multiples of 46?

The multiples of 46 include: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, etc.,

### How do you find a factor?

We can find a factor in three different ways, viz division method, factorisation method and writing the numbers as a product of factor pairs.

### What is the greatest factor of 46?

We know that there are four integers as the factors of 46, i.e. 1, 2, 23, 46 are the factors of 46. Therefore, the greatest factor of 46 is 46.

### What is the factor of 47?

As we know, 47 is a prime number, the factors of 47 are one and the number itself, i.e. 1 and 47.

### Is 47 a perfect square?

No, 47 is not a perfect square.

### What are the factors of 48?

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. These can be written as:

1 × 48 = 48

2 × 24 = 48

3 × 16 = 48

4 × 12 = 48

6 × 8 = 48