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Factors of 113

Factors of 113 are the list of integers that can be evenly divided into 113. There are overall 2 factors of 113 among which 113 is the biggest factor and 1, 113 are positive factors. The sum of all factors of 113 is 114. Its Prime Factors is 113 and (1, 113) are Pair Factors.

All Factors of 113: 1 and 113
Negative Factors of 113: -1 and -113
Prime Factors of 113: 113
Prime Factorization of 113: 113¹
Sum of Factors of 113: 114

1.	What Are the Factors of 113?
2.	Factors of 113 by Prime Factorization
3.	Factors of 113 in Pairs
4.	FAQs on Factors of 113

What are Factors of 113?

Factors of 113 are pairs of those numbers whose products result in 113. These factors are either prime numbers or composite numbers.

How to Find the Factors of 113?

To find the factors of 113, we will have to find the list of numbers that would divide 113 without leaving any remainder.

113/1 = 113; therefore, 1 is a factor of 113.
113/113 = 1; therefore, 113 is a factor of 113.

Hence, the factors of 113 are 1, 113.

☛ Also Check:

Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 15 - The factors of 15 are 1, 3, 5, 15
Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
Factors of 5 - The factors of 5 are 1, 5

Factors of 113 by Prime Factorization

The number 113 is prime and therefore its factors are only the numbers 1 and 113 itself. Hence, it has only one prime factor that is the number itself, i.e. 113.

So, the prime factorization of 113 can be written as 113¹ where 113 is prime.

Factors of 113 in Pairs

Pair factors of 113 are the pairs of numbers that when multiplied give the product 113. The factors of 113 in pairs are:

1 × 113 = (1, 113)

Negative pair factors of 113 are:

-1 × -113 = (-1, -113)

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

Factors of 113 Solved Examples

Example 1: How many factors are there for 113?

Solution:

The factors of 113 are 1, 113. Therefore, 113 has 2 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 113 and 68.

Solution:

The factors of 113 are 1, 113 and factors of 68 are 1, 2, 4, 17, 34, 68.

Therefore, the Lowest Common Multiple (LCM) of 113 and 68 is 7684 and Greatest Common Divisor (GCD) of 113 and 68 is 1.
Example 3: Find if 75 and 113 are factors of 113.

Solution:

When we divide 113 by 75 it leaves a remainder. Therefore, the number 75 is not a factor of 113. All numbers except 75 are factors of 113.
Example 4: Find the product of all the factors of 113.

Solution:

Since, the factors of 113 are 1, 113. Therefore, the product of factors = 1 × 113 = 113.

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FAQs on Factors of 113

What are the Factors of 113?

The factors of 113 are 1, 113 and its negative factors are -1, -113.

What is the Sum of Factors of 113?

Factors of 113 are 1, 113 and, the sum of all these factors is 1 + 113 = 114

What are Prime Factors of 113?

The prime factor of 113 is 113.

What is the Greatest Common Factor of 113 and 63?

The factors of 113 are 1, 113 and the factors of 63 are 1, 3, 7, 9, 21, 63. 113 and 63 have only one common factor which is 1. This implies that 113 and 63 are co-prime.

Hence, the Greatest Common Factor (GCF) of 113 and 63 is 1.

How Many Factors of 113 are also common to the Factors of 83?

Since, the factors of 113 are 1, 113 and factors of 83 are 1, 83. Hence, 113 and 83 have only one common factor which is 1. Therefore, 113 and 83 are co-prime.

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