Factors of 178
Factors of 178 are numbers that, when multiplied in pairs give the product as 178. It has a total of 4 factors of which 178 is the biggest factor and the positive factors of 178 are 1, 2, 89, 178. The Prime Factors of 178 are 2 × 89 and its Factors in Pairs are (1, 178), (2, 89).
- All Factors of 178: 1, 2, 89 and 178
- Negative Factors of 178: -1, -2, -89 and -178
- Prime Factors of 178: 2, 89
- Prime Factorization of 178: 21 × 891
- Sum of Factors of 178: 270
1. | What Are the Factors of 178? |
2. | Factors of 178 by Prime Factorization |
3. | Factors of 178 in Pairs |
4. | FAQs on Factors of 178 |
What are Factors of 178?
Factors of 178 are pairs of those numbers whose products result in 178. These factors are either prime numbers or composite numbers.
How to Find the Factors of 178?
To find the factors of 178, we will have to find the list of numbers that would divide 178 without leaving any remainder.
- 178/2 = 89; therefore, 2 is a factor of 178 and 89 is also a factor of 178.
- 178/178 = 1; therefore, 178 is a factor of 178 and 1 is also a factor of 178.
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Factors of 178 by Prime Factorization
- 178 ÷ 2 = 89
Further dividing 89 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 89 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 178 can be written as 21 × 891 where 2, 89 are prime.
Factors of 178 in Pairs
Pair factors of 178 are the pairs of numbers that when multiplied give the product 178. The factors of 178 in pairs are:
- 1 × 178 = (1, 178)
- 2 × 89 = (2, 89)
Negative pair factors of 178 are:
- -1 × -178 = (-1, -178)
- -2 × -89 = (-2, -89)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 178 Solved Examples
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Example 1: How many factors are there for 178?
Solution:
The factors of 178 are 1, 2, 89, 178. Therefore, 178 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 178 and 85.
Solution:
The factors of 178 are 1, 2, 89, 178 and factors of 85 are 1, 5, 17, 85.
Therefore, the Lowest Common Multiple (LCM) of 178 and 85 is 15130 and Greatest Common Divisor (GCD) of 178 and 85 is 1. -
Example 3: Find if 2, 64 and 89 are factors of 178.
Solution:
When we divide 178 by 64 it leaves a remainder. Therefore, the number 64 is not a factor of 178. All numbers except 64 are factors of 178.
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Example 4: Find the product of all the prime factors of 178.
Solution:
Since, the prime factors of 178 are 2, 89. Therefore, the product of prime factors = 2 × 89 = 178.
FAQs on Factors of 178
What are the Factors of 178?
The factors of 178 are 1, 2, 89, 178 and its negative factors are -1, -2, -89, -178.
What is the Sum of all the Factors of 178?
All the Factors of 178 are 1, 2, 89, 178 and therefore the sum of all these factors is 1 + 2 + 89 + 178 = 270
What Numbers are the Prime Factors of 178?
The prime factors of 178 are 2, 89.
What is the Greatest Common Factor of 178 and 66?
The factors of 178 and 66 are 1, 2, 89, 178 and 1, 2, 3, 6, 11, 22, 33, 66 respectively.
Common factors of 178 and 66 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 178 and 66 is 2.
How Many Factors of 160 are also common to the Factors of 178?
Since, the factors of 178 are 1, 2, 89, 178 and the factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
Hence, [1, 2] are the common factors of 178 and 160.
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