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Factors

# Factors of 43 | Prime Factorization of 43 | Factor Tree of 43

Written by Prerit Jain

Updated on: 18 Aug 2023

### Factors of 43 | Prime Factorization of 43 | Factor Tree of 43

Factors of 43: The factors of a number can be defined as those numbers that can divide the given number evenly i.e. they do not leave a reminder behind.

43 is a prime number. So, the only two factors of 43 are 1 and 43.

The factors of 43, like all numbers have both positive and negative factors. They can also be represented in pairs. This implies that we can multiply the pairs with each other, to obtain the given number (43), as the product.

We will discuss how to find the factors of 43 in this article. We will also examine the prime factorization and factor tree of 43. Continue reading to learn more.

## What Are the Factors of 43?

The factors of 43 are those that can divide 43 evenly and not leave a reminder behind. The factors of 43 can be both positive and negative.

## What Are the Factors of 43 in Pairs?

What Are the Factors of 43 in Pairs?
A pair factor of 43 has a combination of two numbers. When these numbers are multiplied by each other, they will yield 43 as the product. They are as shown in the tables below:

### Positive Pair Factors of 43

The positive pair factors of 43 are (1, 43).

### Negative Pair Factors of 43

The negative pair factors of 43 are (-1, -43).

## Finding the Factors of 42 Using the Division Method

We are using the division method to determine the factors of 43. This approach is about dividing 43 with a sequence of natural numbers. The numbers that divide it completely are its factors.
• 43 ÷ 1 = 43
• 43 ÷ 43 = 1
Therefore, we can see that 1 and 43 are the numbers that do not leave any remainder when divided by 43. So, they are the factors of 43.

## What Is the Prime Factorization of 43?

Check if the given number is a prime number or a composite number. If the given number is a prime number, it has only two factors: 1 and 48. If not, then it has more than two factors.
Since 43 is the composite number, we have more than two factors. Hence, we can use the prime factorization method to find the factors of 43.
The steps to find prime factors of 43 using the prime factorization method are given below:

Step 1: Divide the number 43 by the smallest prime number that can divide it. This number is 43.
43 ÷ 43 = 1

Step 2: We got 1 as the quotient. This cannot be divided any further.
3 ÷ 3 = 1

The prime factors of 43 are 43 X 1 or 431.
Pictorial representation of the prime factorization of 43:

## What is the Factor Tree of 43?

We can also use the factor tree method to determine the prime factors of 48. In this method, we will place 43 on top of the factor tree. As part of the branches, we will write down any set of pair factors of the given number (43). We will now, split the pair of factors into factors. This process will repeat itself till the branches become prime numbers.

Step 1: Let’s place the number 43 on top of the factor tree. Now let us write down its pair factors- 1 and 43.

Step 2: Since 43 is a prime number, we can no longer separate it. We cannot separate 1 either. So, this brings us to the end of the factor tree.

Hence, circling all the branches, 431 or 43 X 1 = 43, which are 43 prime factors.
Below is a visual representation of the factor tree of 43:

## Solved Examples on Factors of 43

Here are some solved examples of 43 factors:

What is the sum of all the factors of 43?
1 and 43 are the 43 factors.
1 + 43 = 44
Hence, 44 is the sum of all 43 factors.

What are the factors and prime factors of 43?
The factors of 43: 1 and 43.
The prime factors of 43: 431 or 43 X 1.

What’s the highest common factor between 43 and 50?
The factors of 50 are 1, 2, 5, 10, 25, and 50.
The factors of 43 are 1 and 43.
Hence, from the above, the highest and only common factor of 43 and 53 is 1.

What’s the highest common factor between 43 and 48?
Factors of 43 are 1 and 43.
Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Hence, from the above, the highest and only common factor of 43 and 48 is 1.

Is 258 a factor of 43?
No, 258 is not a factor of 43.
But it is a multiple of 43.
43 X 6 = 258.

What are the factors of -43?
The factors of -43 are -1 and -43.

What are the common factors of 43 and 64?
To find the common factors of both numbers, we need to find the factors of 43 and 64.
Factors of 43: 1 and 43
Factors of 64: 1, 2, 4, 8, 16, 32 and 64
Hence the common factor of 43 and 64 is 1.

What are all the factors of 43?
The factors of 43 are 1 and 43.

What are the factors of 43 that are composite?
Any number which has more than 2 factors is known as a composite number.
43 has no composite factors because it is a prime number. Its only two factors are 1 and 43.

How many factors of 43 are odd?
All factors of 43 are odd. They are 1 and 43.

How many different factors are there for the number 43?
A total of 2 factors are there for the number 43 and they are 1 and 43.

How many pair factors are there in 43?
A total of 1 pair is there in factors of 43. They are (1, 43) and (43, 1).

What is the largest factor of 43?
The largest factor of 43 is 43.

## FAQs on Factors of 43

List all the factors of 43
1 and 43 are the 43 factors.

What are the composite factors of 43?
Composite factors are those that have more than 2 factors other than 1 and itself. 43 has no composite factors.

What are the factors of 43 in pairs?
(1, 43) and (43, 1) are the pair factors of 43.

What are the positive factors for 43?
1 and 43 are the positive factors for 43.

What are the negative pairs of 43?
The negative factors of 43 in pair are (-1, -43) and (-43, -1)

We hope you have learned all the necessary information about the factors of 43.

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Written by

Prerit Jain

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