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Factors of 111

Factors of 111 are numbers that, when multiplied in pairs give the product as 111. There are overall 4 factors of 111 among which 111 is the biggest factor and its positive factors are 1, 3, 37, 111. The sum of all factors of 111 is 152. Its Prime Factors are 3 × 37 and (1, 111), (3, 37) are Pair Factors.

All Factors of 111: 1, 3, 37 and 111
Negative Factors of 111: -1, -3, -37 and -111
Prime Factors of 111: 3, 37
Prime Factorization of 111: 3¹ × 37¹
Sum of Factors of 111: 152

1.	What Are the Factors of 111?
2.	Factors of 111 by Prime Factorization
3.	Factors of 111 in Pairs
4.	FAQs on Factors of 111

What are Factors of 111?

Factors of 111 are pairs of those numbers whose products result in 111. These factors are either prime numbers or composite numbers.

How to Find the Factors of 111?

To find the factors of 111, we will have to find the list of numbers that would divide 111 without leaving any remainder.

111/3 = 37; therefore, 3 is a factor of 111 and 37 is also a factor of 111.
111/1 = 111; therefore, 1 is a factor of 111 and 111 is also a factor of 111.

Similarly we can find other factors. Hence, the factors of 111 are 1, 3, 37, 111.

☛ Also Check:

Factors of 121 - The factors of 121 are 1, 11, 121
Factors of 41 - The factors of 41 are 1, 41
Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
Factors of 14 - The factors of 14 are 1, 2, 7, 14
Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20

Factors of 111 by Prime Factorization

The number 111 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 111. The first step is to divide the number 111 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

111 ÷ 3 = 37

Further dividing 37 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 37 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 111 can be written as 3¹ × 37¹ where 3, 37 are prime.

Factors of 111 in Pairs

Pair factors of 111 are the pairs of numbers that when multiplied give the product 111. The factors of 111 in pairs are:

1 × 111 = (1, 111)
3 × 37 = (3, 37)

Negative pair factors of 111 are:

-1 × -111 = (-1, -111)
-3 × -37 = (-3, -37)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 111 Solved Examples

Example 1: How many factors are there for 111?

Solution:

The factors of 111 are 1, 3, 37, 111. Therefore, 111 has 4 factors.
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 111 and 106.

Solution:

The factors of 111 are 1, 3, 37, 111 and factors of 106 are 1, 2, 53, 106.

Therefore, the Least Common Multiple of 111 and 106 is 11766 and Highest Common Factor (HCF) of 111 and 106 is 1.
Example 3: Find if 37, 107 and 111 are factors of 111.

Solution:

When we divide 111 by 107 it leaves a remainder. Therefore, the number 107 is not a factor of 111. All numbers except 107 are factors of 111.
Example 4: Find the product of all the prime factors of 111.

Solution:

Since, the prime factors of 111 are 3, 37. Therefore, the product of prime factors = 3 × 37 = 111.

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FAQs on Factors of 111

What are the Factors of 111?

The factors of 111 are 1, 3, 37, 111 and its negative factors are -1, -3, -37, -111.

What is the Sum of Factors of 111?

Factors of 111 are 1, 3, 37, 111 and, the sum of all these factors is 1 + 3 + 37 + 111 = 152

What are Prime Factors of 111?

The prime factors of 111 are 3, 37.

What is the Greatest Common Factor of 111 and 59?

The factors of 111 are 1, 3, 37, 111 and the factors of 59 are 1, 59. 111 and 59 have only one common factor which is 1. This implies that 111 and 59 are co-prime.

Hence, the Greatest Common Factor (GCF) of 111 and 59 is 1.

How Many Factors of 111 are also common to the Factors of 63?

Since, the factors of 111 are 1, 3, 37, 111 and the factors of 63 are 1, 3, 7, 9, 21, 63.
Hence, [1, 3] are the common factors of 111 and 63.

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