Factors of 145
Factors of 145 are the list of integers that we can split evenly into 145. There are overall 4 factors of 145 among which 145 is the biggest factor and its positive factors are 1, 5, 29, 145. The Prime Factors and Pair Factors of 145 are 5 × 29 and (1, 145), (5, 29) respectively.
- All Factors of 145: 1, 5, 29 and 145
- Negative Factors of 145: -1, -5, -29 and -145
- Prime Factors of 145: 5, 29
- Prime Factorization of 145: 51 × 291
- Sum of Factors of 145: 180
1. | What Are the Factors of 145? |
2. | Factors of 145 by Prime Factorization |
3. | Factors of 145 in Pairs |
4. | FAQs on Factors of 145 |
What are Factors of 145?
Factors of 145 are pairs of those numbers whose products result in 145. These factors are either prime numbers or composite numbers.
How to Find the Factors of 145?
To find the factors of 145, we will have to find the list of numbers that would divide 145 without leaving any remainder.
- 145/5 = 29; therefore, 5 is a factor of 145 and 29 is also a factor of 145.
- 145/1 = 145; therefore, 1 is a factor of 145 and 145 is also a factor of 145.
Similarly we can find other factors. Hence, the factors of 145 are 1, 5, 29, 145.
☛ Also Check:
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 7 - The factors of 7 are 1, 7
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
Factors of 145 by Prime Factorization
The number 145 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 145. The first step is to divide the number 145 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.
- 145 ÷ 5 = 29
Further dividing 29 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 145 can be written as 51 × 291 where 5, 29 are prime.
Factors of 145 in Pairs
Pair factors of 145 are the pairs of numbers that when multiplied give the product 145. The factors of 145 in pairs are:
- 1 × 145 = (1, 145)
- 5 × 29 = (5, 29)
Negative pair factors of 145 are:
- -1 × -145 = (-1, -145)
- -5 × -29 = (-5, -29)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 145 Solved Examples
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Example 1: How many factors are there for 145?
Solution:
The factors of 145 are 1, 5, 29, 145. Therefore, 145 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 145 and 107.
Solution:
The factors of 145 are 1, 5, 29, 145 and factors of 107 are 1, 107.
Therefore, the Least Common Multiple of 145 and 107 is 15515 and Greatest Common Factor (GCF) of 145 and 107 is 1. -
Example 3: Find if 29, 73 and 145 are factors of 145.
Solution:
When we divide 145 by 73 it leaves a remainder. Therefore, the number 73 is not a factor of 145. All numbers except 73 are factors of 145.
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Example 4: Find the product of all the prime factors of 145.
Solution:
Since, the prime factors of 145 are 5, 29. Therefore, the product of prime factors = 5 × 29 = 145.
FAQs on Factors of 145
What are the Factors of 145?
The factors of 145 are 1, 5, 29, 145 and its negative factors are -1, -5, -29, -145.
What is the Sum of Factors of 145?
All the Factors of 145 are 1, 5, 29, 145 and therefore the sum of all these factors is 1 + 5 + 29 + 145 = 180
What numbers are the Pair Factors of 145?
The pair factors of 145 are (1, 145), (5, 29).
What is the Greatest Common Factor of 145 and 58?
The factors of 145 and 58 are 1, 5, 29, 145 and 1, 2, 29, 58 respectively.
Common factors of 145 and 58 are [1, 29].
Hence, the Greatest Common Factor (GCF) of 145 and 58 is 29.
How Many Factors of 145 are also common to the Factors of 111?
Since, the factors of 145 are 1, 5, 29, 145 and factors of 111 are 1, 3, 37, 111. Hence, 145 and 111 have only one common factor which is 1. Therefore, 145 and 111 are co-prime.
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