Factors of 43
Factors of 43 are numbers that, when multiplied in pairs give the product as 43. There are overall 2 factors of 43 among which 43 is the biggest factor and its positive factors are 1 and 43. The sum of all factors of 43 is 44. Its Prime Factors are 1, 43, and (1, 43) are Pair Factors.
 Factors of 43: 1 and 43
 Negative Factors of 43: 1 and 43
 Prime Factors of 43: 43
 Prime Factorization of 43: 43
 Sum of Factors of 43: 44
1.  What Are the Factors of 43? 
2.  How to Calculate the Factors of 43? 
3.  Factors of 43 by Prime Factorization 
4.  Factors of 43 in Pairs 
5.  FAQs on Factors of 43 
What Are the Factors of 43?
Let us recall the meaning of the term 'factor'. A factor is a number that divides the number into equal parts. Factors of 43 are the numbers which when multiplied together give the product as 43. 43 has only two factors and they are 1 and 43. The number 43 is a prime number.
How to Calculate the Factors of 43?
 Let's begin calculating the factors of 43, starting with the smallest natural number, i.e., 1. Divide 43 with this number. Is the remainder 0? Yes! So, we will get, 43 ÷ 1 = 43
 The next natural number is 2. Now, divide 43 with this number. Is the remainder 0? Definitely NO!
 Can you find another number that can divide 43 equally?
 43 is a prime number because it has two factors only, that is, 1 and the number itself.
Explore factors using illustrations and interactive examples.
 Factors of 40  The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
 Factors of 47  The factors of 47 are 1 and 47.
 Factors of 45  The factors of 45 are 1, 3, 5, 9, 15, and 45.
 Factors of 46  The factors of 46 are 1, 2, 23, and 46.
Important Notes
 Factors of any number are all the possible divisible numbers. They may be prime numbers or composite numbers.
 Factors are always integers except 0. They are never fractions or decimals.
 1 and the number itself are factors of a number because they exactly divide the given number.
Factors of 43 by Prime Factorization
We just learned that 43 is a prime number. It has only 2 factors, 1 and the number itself.
So the prime factorization of the number 43 is written as the number 43 (itself).
Factors of 43 in Pairs
 The positive pair factors of 43 are (1, 43) and (43, 1). Both the factor pairs (1, 43) and (43, 1) are the same.
 If we consider negative integers, then both the numbers in the pair factors will be negative.
 43 is a positive number and we know that the product of two negative numbers is a positive number.
 Therefore, we can have factor pairs of 43 as (1,43) and (43,1). Both the pairs are the same.
 Since 43 is a prime number, we don't have any other factor pair.
Solved Examples

Example 1 Help Emily determine if 86 is a factor or a multiple of 43.
Solution
A factor of a number is an integer which when divided by the original number leaves no remainder.
A multiple of a number is the product when the original number is multiplied by another number.
43 is not divisible by 86.
43 x 2 = 86
Therefore, 86 is a multiple of 43 and not a factor.

Example 2 Help John determine the number which on multiplying with 43 gives 43?
Solution
The negative factor pair of 43 is (1,43).
Therefore, when 43 is multiplied by 1, the product is 43.
43 x 1 = 43
(1,43) is the negative pair factor of 43.

Example 3: How many factors are there for 43?
Solution:
The factors of 43 are 1, 43. Therefore, 43 has 2 factors.
FAQs on Factors of 43
What are the Factors of 43?
The factors of 43 are 1, 43 and its negative factors are 1, 43.
What is the Greatest Common Factor of 43 and 30?
The factors of 43 are 1, 43 and the factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. 43 and 30 have only one common factor which is 1. This implies that 43 and 30 are coprime.
Hence, the Greatest Common Factor (GCF) of 43 and 30 is 1.
How Many Factors of 43 are also common to the Factors of 23?
Since the factors of 43 are 1, 43, and factors of 23 are 1, 23. Hence, 43 and 23 have only one common factor which is 1. Therefore, 43 and 23 are coprime.
What is the Sum of the Factors of 43?
Since all factors of 43 are 1, 43 therefore, the sum of its factors is 1 + 43 = 44.
What numbers are the Pair Factors of 43?
The pair factors of 43 are (1, 43).
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