Factors of 158
Factors of 158 are the list of integers that we can split evenly into 158. It has a total of 4 factors of which 158 is the biggest factor and the positive factors of 158 are 1, 2, 79, 158. The Prime Factors and Pair Factors of 158 are 2 × 79 and (1, 158), (2, 79) respectively.
- All Factors of 158: 1, 2, 79 and 158
- Negative Factors of 158: -1, -2, -79 and -158
- Prime Factors of 158: 2, 79
- Prime Factorization of 158: 21 × 791
- Sum of Factors of 158: 240
1. | What Are the Factors of 158? |
2. | Factors of 158 by Prime Factorization |
3. | Factors of 158 in Pairs |
4. | FAQs on Factors of 158 |
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What are Factors of 158?
Factors of 158 are pairs of those numbers whose products result in 158. These factors are either prime numbers or composite numbers.
How to Find the Factors of 158?
To find the factors of 158, we will have to find the list of numbers that would divide 158 without leaving any remainder.
- 158/2 = 79; therefore, 2 is a factor of 158 and 79 is also a factor of 158.
- 158/1 = 158; therefore, 1 is a factor of 158 and 158 is also a factor of 158.
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- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
Factors of 158 by Prime Factorization
- 158 ÷ 2 = 79
Further dividing 79 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 79 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 158 can be written as 21 × 791 where 2, 79 are prime.
Factors of 158 in Pairs
Pair factors of 158 are the pairs of numbers that when multiplied give the product 158. The factors of 158 in pairs are:
- 1 × 158 = (1, 158)
- 2 × 79 = (2, 79)
Negative pair factors of 158 are:
- -1 × -158 = (-1, -158)
- -2 × -79 = (-2, -79)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 158 Solved Examples
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Example 1: How many factors are there for 158?
Solution:
The factors of 158 are 1, 2, 79, 158. Therefore, 158 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 158 and 88.
Solution:
The factors of 158 are 1, 2, 79, 158 and factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88.
Therefore, the Least Common Multiple (LCM) of 158 and 88 is 6952 and Greatest Common Divisor (GCD) of 158 and 88 is 2. -
Example 3: Find if 2, 144 and 158 are factors of 158.
Solution:
When we divide 158 by 144 it leaves a remainder. Therefore, the number 144 is not a factor of 158. All numbers except 144 are factors of 158.
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Example 4: Find the product of all the prime factors of 158.
Solution:
Since, the prime factors of 158 are 2, 79. Therefore, the product of prime factors = 2 × 79 = 158.
FAQs on Factors of 158
What are the Factors of 158?
The factors of 158 are 1, 2, 79, 158 and its negative factors are -1, -2, -79, -158.
What is the Sum of Factors of 158?
Factors of 158 are 1, 2, 79, 158 and, the sum of all these factors is 1 + 2 + 79 + 158 = 240
What Numbers are the Prime Factors of 158?
The prime factors of 158 are 2, 79.
What is the Greatest Common Factor of 158 and 96?
The factors of 158 and 96 are 1, 2, 79, 158 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 respectively.
Common factors of 158 and 96 are [1, 2].
Hence, the GCF of 158 and 96 is 2.
How Many Factors of 158 are also Factors of 124?
Since, the factors of 158 are 1, 2, 79, 158 and the factors of 124 are 1, 2, 4, 31, 62, 124.
Hence, [1, 2] are the common factors of 158 and 124.
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