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Factors of 103

Factors of 103 are the list of integers that we can split evenly into 103. There are overall 2 factors of 103 among which 103 is the biggest factor and its positive factors are 1, 103. The Pair Factors of 103 are (1, 103) and its Prime Factors is 103.

All Factors of 103: 1 and 103
Negative Factors of 103: -1 and -103
Prime Factors of 103: 103
Prime Factorization of 103: 103¹
Sum of Factors of 103: 104

1.	What Are the Factors of 103?
2.	Factors of 103 by Prime Factorization
3.	Factors of 103 in Pairs
4.	FAQs on Factors of 103

What are Factors of 103?

Factors of 103 are pairs of those numbers whose products result in 103. These factors are either prime numbers or composite numbers.

How to Find the Factors of 103?

To find the factors of 103, we will have to find the list of numbers that would divide 103 without leaving any remainder.

103/103 = 1; therefore, 103 is a factor of 103.
103/1 = 103; therefore, 1 is a factor of 103.

Hence, the factors of 103 are 1, 103.

☛ Also Check:

Factors of 26 - The factors of 26 are 1, 2, 13, 26
Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 15 - The factors of 15 are 1, 3, 5, 15
Factors of 37 - The factors of 37 are 1, 37
Factors of 7 - The factors of 7 are 1, 7

Factors of 103 by Prime Factorization

The number 103 is prime and therefore its factors are only the numbers 1 and 103 itself. Hence, it has only one prime factor that is the number itself, i.e. 103.

So, the prime factorization of 103 can be written as 103¹ where 103 is prime.

Factors of 103 in Pairs

Pair factors of 103 are the pairs of numbers that when multiplied give the product 103. The factors of 103 in pairs are:

1 × 103 = (1, 103)

Negative pair factors of 103 are:

-1 × -103 = (-1, -103)

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

Factors of 103 Solved Examples

Example 1: How many factors are there for 103?

Solution:

The factors of 103 are 1, 103. Therefore, 103 has 2 factors.
Example 2: Find the LCM and Greatest Common Factor (GCF) of 103 and 47.

Solution:

The factors of 103 are 1, 103 and factors of 47 are 1, 47.

Therefore, the LCM of 103 and 47 is 4841 and Greatest Common Factor (GCF) of 103 and 47 is 1.
Example 3: Find if 3 and 103 are factors of 103.

Solution:

When we divide 103 by 3 it leaves a remainder. Therefore, the number 3 is not a factor of 103. All numbers except 3 are factors of 103.
Example 4: Find the product of all the factors of 103.

Solution:

Since, the factors of 103 are 1, 103. Therefore, the product of factors = 1 × 103 = 103.

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FAQs on Factors of 103

What are the Factors of 103?

The factors of 103 are 1, 103 and its negative factors are -1, -103.

What is the Sum of all Factors of 103?

Since, all factors of 103 are 1, 103 therefore, the sum of its factors is 1 + 103 = 104.

What are Prime Factors of 103?

The prime factor of 103 is 103.

What is the Greatest Common Factor of 103 and 43?

The factors of 103 are 1, 103 and the factors of 43 are 1, 43. 103 and 43 have only one common factor which is 1. This implies that 103 and 43 are co-prime.

Hence, the Greatest Common Factor (GCF) of 103 and 43 is 1.

What are the Common Factors of 103 and 99?

Since, the factors of 103 are 1, 103 and factors of 99 are 1, 3, 9, 11, 33, 99. Hence, 103 and 99 have only one common factor which is 1. Therefore, 103 and 99 are co-prime.

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