# Factors of 43

Factors of 43 are 1 and 43

#### How to find factors of a number

 1.   Find factors of 43 using Division Method 2.   Find factors of 43 using Prime Factorization 3.   Find factors of 43 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 43

• Divide 43 by 1: 43 ÷ 1 : Remainder = 0
• Divide 43 by 43: 43 ÷ 43 : Remainder = 0

Hence, Factors of 43 are 1 and 43

#### 2. Steps to find factors of 43 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 43 using the division method, follow these steps:

• Step 1. Start dividing 43 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 43, which is 43. Divide 43 by 43 to obtain the quotient (1).
43 ÷ 43 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 43 is, 43 = 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 43 as shown below:

So, the prime factorization of 43 is, 43 = 43.

#### 3. Find factors of 43 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 43 would be the two numbers which, when multiplied, give 43 as the result.

The following table represents the calculation of factors of 43 in pairs:

Factor Pair Pair Factorization
1 and 43 1 x 43 = 43

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 43. They are called negative pair factors.

Hence, the negative pairs of 43 would be ( -1 , -43 ) , .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 43 x 0 = 0.
• 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, 43 are exact divisors of 43.
• Factors of 43 are 1, 43. Each factor divides 43 without leaving a remainder.

• Which is the smallest prime factor of 43?

The smallest prime factor of 43 is 43.

• Is 43 a whole number?

Yes 43 is a whole number.

• What are the prime factors of 43?

The factors of 43 are 1, 43.
Prime factors of 43 are 43.

• What two numbers make 43?

Two numbers that make 43 are 43 and 1.

• What are multiples of 43?

First five multiples of 43 are 86, 129, 172, 215.

• What is the sum of all factors of 43?

The sum of all factors of 43 is 44.

• What are five multiples of 43?

First five multiples of 43 are 86, 129, 172, 215, 258.

• Is 43 a perfect square?

No 43 is not a perfect square.

• What is the greatest prime factors of 43?

The greatest prime factor of 43 is 43.

#### Examples of Factors

How many factors are there for 43?

Factors of 43 are 1, 43.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 43. Can you predict the answer?

1 factor(s) of 43 is 1.

Sammy is puzzled while calculating the prime factors of 43. Can you help him find them?

Factors of 43 are 1, 43.
Prime factors of 43 are 43

What is prime factorization of 43?

Prime factorization of 43 is 43 = 43.

Ariel has been assigned the task to find the product of all the prime factors of 43. Can you help her?

Prime factors of 43 are 43.
Hence, the product of prime factors of 43.

Can you help Rubel to find out the product of the even factors of 43?

Factors of 43 are 1, 43.
Even factors of 43 are 0.
Hence, product of even factors of 43 is; 0 = 0.

Joy wants to calculate mean of all the factors of 43. Help him in finding the mean of 43.

Factors of 43 are 1, 43.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 43 is 1 + 43 = 44.
Hence, the mean of factors of 43 is 44 ÷ 2 = 22.00.