Factors of 278
Factors of 278 are integers that can be divided evenly into 278. It has a total of 4 factors of which 278 is the biggest factor and the positive factors of 278 are 1, 2, 139, 278. The Prime Factors and Pair Factors of 278 are 2 × 139 and (1, 278), (2, 139) respectively.
- All Factors of 278: 1, 2, 139 and 278
- Negative Factors of 278: -1, -2, -139 and -278
- Prime Factors of 278: 2, 139
- Prime Factorization of 278: 21 × 1391
- Sum of Factors of 278: 420
1. | What Are the Factors of 278? |
2. | Factors of 278 by Prime Factorization |
3. | Factors of 278 in Pairs |
4. | FAQs on Factors of 278 |
![Factors of 278](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-278.png)
What are Factors of 278?
Factors of 278 are pairs of those numbers whose products result in 278. These factors are either prime numbers or composite numbers.
How to Find the Factors of 278?
To find the factors of 278, we will have to find the list of numbers that would divide 278 without leaving any remainder.
- 278/139 = 2; therefore, 139 is a factor of 278 and 2 is also a factor of 278.
- 278/1 = 278; therefore, 1 is a factor of 278 and 278 is also a factor of 278.
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- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 278 by Prime Factorization
- 278 ÷ 2 = 139
Further dividing 139 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 139 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 278 can be written as 21 × 1391 where 2, 139 are prime.
Factors of 278 in Pairs
Pair factors of 278 are the pairs of numbers that when multiplied give the product 278. The factors of 278 in pairs are:
- 1 × 278 = (1, 278)
- 2 × 139 = (2, 139)
Negative pair factors of 278 are:
- -1 × -278 = (-1, -278)
- -2 × -139 = (-2, -139)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 278 Solved Examples
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Example 1: How many factors are there for 278?
Solution:
The factors of 278 are 1, 2, 139, 278. Therefore, 278 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 278 and 264.
Solution:
The factors of 278 are 1, 2, 139, 278 and factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264.
Therefore, the Lowest Common Multiple (LCM) of 278 and 264 is 36696 and Greatest Common Factor (GCF) of 278 and 264 is 2. -
Example 3: Find if 1, 2 and 152 are factors of 278.
Solution:
When we divide 278 by 152 it leaves a remainder. Therefore, the number 152 is not a factor of 278. All numbers except 152 are factors of 278.
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Example 4: Find the product of all the prime factors of 278.
Solution:
Since, the prime factors of 278 are 2, 139. Therefore, the product of prime factors = 2 × 139 = 278.
FAQs on Factors of 278
What are the Factors of 278?
The factors of 278 are 1, 2, 139, 278 and its negative factors are -1, -2, -139, -278.
What is the Sum of all the Factors of 278?
Since, all factors of 278 are 1, 2, 139, 278 therefore, the sum of its factors is 1 + 2 + 139 + 278 = 420.
What are Prime Factors of 278?
The prime factors of 278 are 2, 139.
What is the Greatest Common Factor of 278 and 233?
The factors of 278 are 1, 2, 139, 278 and the factors of 233 are 1, 233. 278 and 233 have only one common factor which is 1. This implies that 278 and 233 are co-prime.
Hence, the Greatest Common Factor (GCF) of 278 and 233 is 1.
How Many Factors of 168 are also common to the Factors of 278?
Since, the factors of 278 are 1, 2, 139, 278 and the factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Hence, [1, 2] are the common factors of 278 and 168.
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