Factors of 133
Factors of 133 are numbers that, when multiplied in pairs give the product as 133. There are 4 factors of 133 of which 133 itself is the biggest factor and its positive factors are 1, 7, 19, 133. The Pair Factors of 133 are (1, 133), (7, 19) and its Prime Factors are 7 × 19.
- All Factors of 133: 1, 7, 19 and 133
- Negative Factors of 133: -1, -7, -19 and -133
- Prime Factors of 133: 7, 19
- Prime Factorization of 133: 71 × 191
- Sum of Factors of 133: 160
1. | What Are the Factors of 133? |
2. | Factors of 133 by Prime Factorization |
3. | Factors of 133 in Pairs |
4. | FAQs on Factors of 133 |
What are Factors of 133?
Factors of 133 are pairs of those numbers whose products result in 133. These factors are either prime numbers or composite numbers.
How to Find the Factors of 133?
To find the factors of 133, we will have to find the list of numbers that would divide 133 without leaving any remainder.
- 133/7 = 19; therefore, 7 is a factor of 133 and 19 is also a factor of 133.
- 133/1 = 133; therefore, 1 is a factor of 133 and 133 is also a factor of 133.
☛ Also Check:
- Factors of 13 - The factors of 13 are 1, 13
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 49 - The factors of 49 are 1, 7, 49
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
Factors of 133 by Prime Factorization
- 133 ÷ 7 = 19
Further dividing 19 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 19 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 133 can be written as 71 × 191 where 7, 19 are prime.
Factors of 133 in Pairs
Pair factors of 133 are the pairs of numbers that when multiplied give the product 133. The factors of 133 in pairs are:
- 1 × 133 = (1, 133)
- 7 × 19 = (7, 19)
Negative pair factors of 133 are:
- -1 × -133 = (-1, -133)
- -7 × -19 = (-7, -19)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 133 Solved Examples
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Example 1: How many factors are there for 133?
Solution:
The factors of 133 are 1, 7, 19, 133. Therefore, 133 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 133 and 127.
Solution:
The factors of 133 are 1, 7, 19, 133 and factors of 127 are 1, 127.
Therefore, the Least Common Multiple of 133 and 127 is 16891 and Greatest Common Factor (GCF) of 133 and 127 is 1. -
Example 3: Find if 7, 49 and 133 are factors of 133.
Solution:
When we divide 133 by 49 it leaves a remainder. Therefore, the number 49 is not a factor of 133. All numbers except 49 are factors of 133.
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Example 4: Find the product of all the prime factors of 133.
Solution:
Since, the prime factors of 133 are 7, 19. Therefore, the product of prime factors = 7 × 19 = 133.
FAQs on Factors of 133
What are the Factors of 133?
The factors of 133 are 1, 7, 19, 133 and its negative factors are -1, -7, -19, -133.
What is the Sum of all Factors of 133?
Factors of 133 are 1, 7, 19, 133 and, the sum of all these factors is 1 + 7 + 19 + 133 = 160
What are the Pair Factors of 133?
The pair factors of 133 are (1, 133), (7, 19).
What is the Greatest Common Factor of 133 and 130?
The factors of 133 are 1, 7, 19, 133 and the factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. 133 and 130 have only one common factor which is 1. This implies that 133 and 130 are co-prime.
Hence, the Greatest Common Factor (GCF) of 133 and 130 is 1.
How Many Factors of 133 are also common to the Factors of 120?
Since, the factors of 133 are 1, 7, 19, 133 and factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Hence, 133 and 120 have only one common factor which is 1. Therefore, 133 and 120 are co-prime.
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