Factors of 148
Factors of 148 are the list of integers that can be evenly divided into 148. It has a total of 6 factors of which 148 is the biggest factor and the positive factors of 148 are 1, 2, 4, 37, 74, 148. The Prime Factors of 148 are 2 × 37 and its Factors in Pairs are (1, 148), (2, 74), (4, 37).
- All Factors of 148: 1, 2, 4, 37, 74 and 148
- Negative Factors of 148: -1, -2, -4, -37, -74 and -148
- Prime Factors of 148: 2, 37
- Prime Factorization of 148: 22 × 371
- Sum of Factors of 148: 266
1. | What Are the Factors of 148? |
2. | Factors of 148 by Prime Factorization |
3. | Factors of 148 in Pairs |
4. | FAQs on Factors of 148 |
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What are Factors of 148?
Factors of 148 are pairs of those numbers whose products result in 148. These factors are either prime numbers or composite numbers.
How to Find the Factors of 148?
To find the factors of 148, we will have to find the list of numbers that would divide 148 without leaving any remainder.
- 148/4 = 37; therefore, 4 is a factor of 148 and 37 is also a factor of 148.
- 148/74 = 2; therefore, 74 is a factor of 148 and 2 is also a factor of 148.
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Factors of 148 by Prime Factorization
- 148 ÷ 2 = 74
- 74 ÷ 2 = 37
Further dividing 37 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 37 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 148 can be written as 22 × 371 where 2, 37 are prime.
Factors of 148 in Pairs
Pair factors of 148 are the pairs of numbers that when multiplied give the product 148. The factors of 148 in pairs are:
- 1 × 148 = (1, 148)
- 2 × 74 = (2, 74)
- 4 × 37 = (4, 37)
Negative pair factors of 148 are:
- -1 × -148 = (-1, -148)
- -2 × -74 = (-2, -74)
- -4 × -37 = (-4, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 148 Solved Examples
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Example 1: How many factors are there for 148?
Solution:
The factors of 148 are 1, 2, 4, 37, 74, 148. Therefore, 148 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 148 and 41.
Solution:
The factors of 148 are 1, 2, 4, 37, 74, 148 and factors of 41 are 1, 41.
Therefore, the Least Common Multiple of 148 and 41 is 6068 and Greatest Common Factor (GCF) of 148 and 41 is 1. -
Example 3: Find if 4, 74, 85 and 148 are factors of 148.
Solution:
When we divide 148 by 85 it leaves a remainder. Therefore, the number 85 is not a factor of 148. All numbers except 85 are factors of 148.
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Example 4: Find the product of all the prime factors of 148.
Solution:
Since, the prime factors of 148 are 2, 37. Therefore, the product of prime factors = 2 × 37 = 74.
FAQs on Factors of 148
What are the Factors of 148?
The factors of 148 are 1, 2, 4, 37, 74, 148 and its negative factors are -1, -2, -4, -37, -74, -148.
What is the Sum of the Factors of 148?
Factors of 148 are 1, 2, 4, 37, 74, 148 and, the sum of all these factors is 1 + 2 + 4 + 37 + 74 + 148 = 266
What are the Pair Factors of 148?
The pair factors of 148 are (1, 148), (2, 74), (4, 37).
What is the Greatest Common Factor of 148 and 114?
The factors of 148 and 114 are 1, 2, 4, 37, 74, 148 and 1, 2, 3, 6, 19, 38, 57, 114 respectively.
Common factors of 148 and 114 are [1, 2].
Hence, the GCF of 148 and 114 is 2.
How Many Factors of 72 are also common to the Factors of 148?
Since, the factors of 148 are 1, 2, 4, 37, 74, 148 and the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Hence, [1, 2, 4] are the common factors of 148 and 72.
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