Factors of 157
Factors of 157 are numbers that, when multiplied in pairs give the product as 157. There are overall 2 factors of 157 among which 157 is the biggest factor and its positive factors are 1, 157. The Prime Factors of 157 is 157 and its Factors in Pairs are (1, 157).
- All Factors of 157: 1 and 157
- Negative Factors of 157: -1 and -157
- Prime Factors of 157: 157
- Prime Factorization of 157: 1571
- Sum of Factors of 157: 158
1. | What Are the Factors of 157? |
2. | Factors of 157 by Prime Factorization |
3. | Factors of 157 in Pairs |
4. | FAQs on Factors of 157 |
What are Factors of 157?
Factors of 157 are pairs of those numbers whose products result in 157. These factors are either prime numbers or composite numbers.
How to Find the Factors of 157?
To find the factors of 157, we will have to find the list of numbers that would divide 157 without leaving any remainder.
- 157/157 = 1; therefore, 157 is a factor of 157.
- 157/1 = 157; therefore, 1 is a factor of 157.
☛ Also Check:
- Factors of 13 - The factors of 13 are 1, 13
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
- Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 15 - The factors of 15 are 1, 3, 5, 15
Factors of 157 by Prime Factorization
So, the prime factorization of 157 can be written as 1571 where 157 is prime.
Factors of 157 in Pairs
Pair factors of 157 are the pairs of numbers that when multiplied give the product 157. The factors of 157 in pairs are:
- 1 × 157 = (1, 157)
Negative pair factors of 157 are:
- -1 × -157 = (-1, -157)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 157 Solved Examples
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Example 1: How many factors are there for 157?
Solution:
The factors of 157 are 1, 157. Therefore, 157 has 2 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 157 and 130.
Solution:
The factors of 157 are 1, 157 and factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130.
Therefore, the LCM of 157 and 130 is 20410 and Greatest Common Divisor (GCD) of 157 and 130 is 1. -
Example 3: Find if 1 and 106 are factors of 157.
Solution:
When we divide 157 by 106 it leaves a remainder. Therefore, the number 106 is not a factor of 157. All numbers except 106 are factors of 157.
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Example 4: Find the product of all the factors of 157.
Solution:
Since, the factors of 157 are 1, 157. Therefore, the product of factors = 1 × 157 = 157.
FAQs on Factors of 157
What are the Factors of 157?
The factors of 157 are 1, 157 and its negative factors are -1, -157.
What is the Sum of Factors of 157?
Factors of 157 are 1, 157 and, the sum of all these factors is 1 + 157 = 158
What are Pair Factors of 157?
The pair factors of 157 are (1, 157).
What is the Greatest Common Factor of 157 and 132?
The factors of 157 are 1, 157 and the factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. 157 and 132 have only one common factor which is 1. This implies that 157 and 132 are co-prime.
Hence, the Greatest Common Factor (GCF) of 157 and 132 is 1.
How Many Factors of 42 are also common to the Factors of 157?
Since, the factors of 157 are 1, 157 and factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. Hence, 157 and 42 have only one common factor which is 1. Therefore, 157 and 42 are co-prime.
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