Factors of 325
Factors of 325 are the list of integers that we can split evenly into 325. There are overall 6 factors of 325 i.e. 1, 5, 13, 25, 65, 325 where 325 is the biggest factor. The sum of all factors of 325 is 434 and its factors in Pairs are (1, 325), (5, 65), (13, 25).
- All Factors of 325: 1, 5, 13, 25, 65 and 325
- Negative Factors of 325: -1, -5, -13, -25, -65 and -325
- Prime Factors of 325: 5, 13
- Prime Factorization of 325: 52 × 131
- Sum of Factors of 325: 434
1. | What Are the Factors of 325? |
2. | Factors of 325 by Prime Factorization |
3. | Factors of 325 in Pairs |
4. | FAQs on Factors of 325 |
What are Factors of 325?
Factors of 325 are pairs of those numbers whose products result in 325. These factors are either prime numbers or composite numbers.
How to Find the Factors of 325?
To find the factors of 325, we will have to find the list of numbers that would divide 325 without leaving any remainder.
- 325/25 = 13; therefore, 25 is a factor of 325 and 13 is also a factor of 325.
- 325/5 = 65; therefore, 5 is a factor of 325 and 65 is also a factor of 325.
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Factors of 325 by Prime Factorization
- 325 ÷ 5 = 65
- 65 ÷ 5 = 13
Further dividing 13 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 13 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 325 can be written as 52 × 131 where 5, 13 are prime.
Factors of 325 in Pairs
Pair factors of 325 are the pairs of numbers that when multiplied give the product 325. The factors of 325 in pairs are:
- 1 × 325 = (1, 325)
- 5 × 65 = (5, 65)
- 13 × 25 = (13, 25)
Negative pair factors of 325 are:
- -1 × -325 = (-1, -325)
- -5 × -65 = (-5, -65)
- -13 × -25 = (-13, -25)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 325 Solved Examples
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Example 1: How many factors are there for 325?
Solution:
The factors of 325 are 1, 5, 13, 25, 65, 325. Therefore, 325 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 325 and 260.
Solution:
The factors of 325 are 1, 5, 13, 25, 65, 325 and factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.
Therefore, the Least Common Multiple of 325 and 260 is 1300 and Greatest Common Divisor (GCD) of 325 and 260 is 65. -
Example 3: Find if 1, 5, 65 and 232 are factors of 325.
Solution:
When we divide 325 by 232 it leaves a remainder. Therefore, the number 232 is not a factor of 325. All numbers except 232 are factors of 325.
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Example 4: Find the product of all the prime factors of 325.
Solution:
Since, the prime factors of 325 are 5, 13. Therefore, the product of prime factors = 5 × 13 = 65.
FAQs on Factors of 325
What are the Factors of 325?
The factors of 325 are 1, 5, 13, 25, 65, 325 and its negative factors are -1, -5, -13, -25, -65, -325.
What is the Sum of the Factors of 325?
Factors of 325 are 1, 5, 13, 25, 65, 325 and, the sum of all these factors is 1 + 5 + 13 + 25 + 65 + 325 = 434
What are the Prime Factors of 325?
The prime factors of 325 are 5, 13.
What is the Greatest Common Factor of 325 and 184?
The factors of 325 are 1, 5, 13, 25, 65, 325 and the factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. 325 and 184 have only one common factor which is 1. This implies that 325 and 184 are co-prime.
Hence, the Greatest Common Factor (GCF) of 325 and 184 is 1.
What are the Common Factors of 325 and 200?
Since, the factors of 325 are 1, 5, 13, 25, 65, 325 and the factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.
Hence, [1, 5, 25] are the common factors of 325 and 200.
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