# Factors Of 43 – With Division and Prime Factorization

## Factors Of 43

Factors of 43 represent the natural numbers that uniformly divide an original number. In mathematics, a factor is a number that divides another evenly. This is also known as the divisor of a number. Since 43 is a prime number, it is divisible both by 1 and by itself.

Another way to say it is that if the multiplication of two positive natural numbers equals 43, then they are the factors of 43.

## How to Find the Factors of 43?

We can determine the factors of a number by dividing it by the natural numbers that produce zero remainders.

43 ÷ 1 = 43 [Remainder = 0]

43 ÷ 43 = 1 [Remainder = 0]

As a result, the 43 factors only have two factors. There are 1 and 43.

Let’s divide 43 by any other number. In the case of multiplication by a whole number, the divisor must also be a whole number.

43 ÷ 2 = 21.5

43 ÷ 5 = 8.6

43 ÷ 15 = 2.87

Hence, 43 has no additional factors.

## Pair Factors of 43

When multiplied together, 43 has a pair of factors that gives the original number.

• 1 × 43 = 43
• 43 × 1 = 43

As a result, the pair factors of 43 are (1, 43) or (43, 1).

By considering the negative factors in pairs, we will get 43.

• -1 × -43 = 43
• -43 × -1 = 43

As a result, the negative pair factors are (-1, -43) or (-43, -1).

## Prime Factorization of 43

In other words, 43 is a prime number that can only be divided by 43.

43 ÷ 43 = 1

As a result, the prime factor of 43 is 43.

Prime factorization of 43 = 43

Exponential form = 431

## Solved Examples

Q.1: What is the sum of all the factors of 43?

43 has two factors: 1 and 43.

The sum of 1 + 43 is 44

Accordingly, the sum, required is 44

Q.2: What are 43 and 53 in common?

There are 53 and 43 factors to be listed.

43 → 1, 43

53 → 1, 53

As a result, 43 and 53 have the same common factor of 1.

Q.3: What are the greatest common factors of 43 and 129?

These numbers have the following factors:

43 → 1, 43

129 → 1, 3, 43, 129

Therefore, 43 and 129 have a GCF of 43.

## FAQs

### How many factors are there in 43?

43 has two factors: 1 and 43. Consequently, there are two factors.

### Is 43 a prime number?

Since 43 has only two factors, it is a prime number.

### How many multiples of 43 are there?

43, 86, 129, 172, 215, 258, 301, 344, 387, and 430 are the first ten multiples of 43.

### 43 can be divided equally?

Apart from 1 and itself, 43 has no other factors that can evenly divide it.

### Is 13 a factor of 43?

13 cannot divide 43 uniformly, so it cannot be a factor of 43.