Factors of 1183
Factors of 1183 are the list of integers that we can split evenly into 1183. There are total 6 factors of 1183 i.e. 1, 7, 13, 91, 169, 1183. The Prime Factors of 1183 are 7 × 13 and its Factors in Pairs are (1, 1183), (7, 169), (13, 91).
- All Factors of 1183: 1, 7, 13, 91, 169 and 1183
- Negative Factors of 1183: -1, -7, -13, -91, -169 and -1183
- Prime Factors of 1183: 7, 13
- Prime Factorization of 1183: 71 × 132
- Sum of Factors of 1183: 1464
1. | What Are the Factors of 1183? |
2. | Factors of 1183 by Prime Factorization |
3. | Factors of 1183 in Pairs |
4. | FAQs on Factors of 1183 |
What are Factors of 1183?
Factors of 1183 are pairs of those numbers whose products result in 1183. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1183?
To find the factors of 1183, we will have to find the list of numbers that would divide 1183 without leaving any remainder.
- 1183/13 = 91; therefore, 13 is a factor of 1183 and 91 is also a factor of 1183.
- 1183/169 = 7; therefore, 169 is a factor of 1183 and 7 is also a factor of 1183.
☛ Also Check:
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
- Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
Factors of 1183 by Prime Factorization
- 1183 ÷ 7 = 169
Further dividing 169 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 169 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 1183 can be written as 71 × 132 where 7, 13 are prime.
Factors of 1183 in Pairs
Pair factors of 1183 are the pairs of numbers that when multiplied give the product 1183. The factors of 1183 in pairs are:
- 1 × 1183 = (1, 1183)
- 7 × 169 = (7, 169)
- 13 × 91 = (13, 91)
Negative pair factors of 1183 are:
- -1 × -1183 = (-1, -1183)
- -7 × -169 = (-7, -169)
- -13 × -91 = (-13, -91)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1183 Solved Examples
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Example 1: How many factors are there for 1183?
Solution:
The factors of 1183 are 1, 7, 13, 91, 169, 1183. Therefore, 1183 has 6 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 1183 and 732.
Solution:
The factors of 1183 are 1, 7, 13, 91, 169, 1183 and factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732.
Therefore, the Lowest Common Multiple (LCM) of 1183 and 732 is 865956 and Greatest Common Factor (GCF) of 1183 and 732 is 1. -
Example 3: Find if 7, 13, 91 and 194 are factors of 1183.
Solution:
When we divide 1183 by 194 it leaves a remainder. Therefore, the number 194 is not a factor of 1183. All numbers except 194 are factors of 1183.
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Example 4: Find the product of all the prime factors of 1183.
Solution:
Since, the prime factors of 1183 are 7, 13. Therefore, the product of prime factors = 7 × 13 = 91.
FAQs on Factors of 1183
What are the Factors of 1183?
The factors of 1183 are 1, 7, 13, 91, 169, 1183 and its negative factors are -1, -7, -13, -91, -169, -1183.
What is the Sum of all Factors of 1183?
All the Factors of 1183 are 1, 7, 13, 91, 169, 1183 and therefore the sum of all these factors is 1 + 7 + 13 + 91 + 169 + 1183 = 1464
What are Prime Factors of 1183?
The prime factors of 1183 are 7, 13.
What is the Greatest Common Factor of 1183 and 563?
The factors of 1183 are 1, 7, 13, 91, 169, 1183 and the factors of 563 are 1, 563. 1183 and 563 have only one common factor which is 1. This implies that 1183 and 563 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1183 and 563 is 1.
How Many Factors of 221 are also common to the Factors of 1183?
Since, the factors of 1183 are 1, 7, 13, 91, 169, 1183 and the factors of 221 are 1, 13, 17, 221.
Hence, [1, 13] are the common factors of 1183 and 221.
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