Factors of 146
Factors of 146 are the list of integers that we can split evenly into 146. There are 4 factors of 146, which are 1, 2, 73, 146. Here, 146 is the biggest factor. The Pair Factors of 146 are (1, 146), (2, 73) and its Prime Factors are 2 × 73.
- All Factors of 146: 1, 2, 73 and 146
- Negative Factors of 146: -1, -2, -73 and -146
- Prime Factors of 146: 2, 73
- Prime Factorization of 146: 21 × 731
- Sum of Factors of 146: 222
1. | What Are the Factors of 146? |
2. | Factors of 146 by Prime Factorization |
3. | Factors of 146 in Pairs |
4. | FAQs on Factors of 146 |

What are Factors of 146?
Factors of 146 are pairs of those numbers whose products result in 146. These factors are either prime numbers or composite numbers.
How to Find the Factors of 146?
To find the factors of 146, we will have to find the list of numbers that would divide 146 without leaving any remainder.
- 146/2 = 73; therefore, 2 is a factor of 146 and 73 is also a factor of 146.
- 146/1 = 146; therefore, 1 is a factor of 146 and 146 is also a factor of 146.
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- Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
Factors of 146 by Prime Factorization
- 146 ÷ 2 = 73
Further dividing 73 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 73 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 146 can be written as 21 × 731 where 2, 73 are prime.
Factors of 146 in Pairs
Pair factors of 146 are the pairs of numbers that when multiplied give the product 146. The factors of 146 in pairs are:
- 1 × 146 = (1, 146)
- 2 × 73 = (2, 73)
Negative pair factors of 146 are:
- -1 × -146 = (-1, -146)
- -2 × -73 = (-2, -73)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 146 Solved Examples
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Example 1: How many factors are there for 146?
Solution:
The factors of 146 are 1, 2, 73, 146. Therefore, 146 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 146 and 135.
Solution:
The factors of 146 are 1, 2, 73, 146 and factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135.
Therefore, the Least Common Multiple (LCM) of 146 and 135 is 19710 and Greatest Common Divisor (GCD) of 146 and 135 is 1. -
Example 3: Find if 2, 134 and 146 are factors of 146.
Solution:
When we divide 146 by 134 it leaves a remainder. Therefore, the number 134 is not a factor of 146. All numbers except 134 are factors of 146.
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Example 4: Find the product of all the prime factors of 146.
Solution:
Since, the prime factors of 146 are 2, 73. Therefore, the product of prime factors = 2 × 73 = 146.
FAQs on Factors of 146
What are the Factors of 146?
The factors of 146 are 1, 2, 73, 146 and its negative factors are -1, -2, -73, -146.
What is the Sum of Factors of 146?
Factors of 146 are 1, 2, 73, 146 and, the sum of all these factors is 1 + 2 + 73 + 146 = 222
What are the Prime Factors of 146?
The prime factors of 146 are 2, 73.
What is the Greatest Common Factor of 146 and 87?
The factors of 146 are 1, 2, 73, 146 and the factors of 87 are 1, 3, 29, 87. 146 and 87 have only one common factor which is 1. This implies that 146 and 87 are co-prime.
Hence, the Greatest Common Factor (GCF) of 146 and 87 is 1.
How Many Factors of 146 are also common to the Factors of 54?
Since, the factors of 146 are 1, 2, 73, 146 and the factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54.
Hence, [1, 2] are the common factors of 146 and 54.
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