Factors of 425
Factors of 425 are the list of integers that we can split evenly into 425. There are overall 6 factors of 425 among which 425 is the biggest factor and its positive factors are 1, 5, 17, 25, 85, 425. The Prime Factors of 425 are 5 × 17 and its Factors in Pairs are (1, 425), (5, 85), (17, 25).
- All Factors of 425: 1, 5, 17, 25, 85 and 425
- Negative Factors of 425: -1, -5, -17, -25, -85 and -425
- Prime Factors of 425: 5, 17
- Prime Factorization of 425: 52 × 171
- Sum of Factors of 425: 558
1. | What Are the Factors of 425? |
2. | Factors of 425 by Prime Factorization |
3. | Factors of 425 in Pairs |
4. | FAQs on Factors of 425 |
What are Factors of 425?
Factors of 425 are pairs of those numbers whose products result in 425. These factors are either prime numbers or composite numbers.
How to Find the Factors of 425?
To find the factors of 425, we will have to find the list of numbers that would divide 425 without leaving any remainder.
- 425/25 = 17; therefore, 25 is a factor of 425 and 17 is also a factor of 425.
- 425/5 = 85; therefore, 5 is a factor of 425 and 85 is also a factor of 425.
☛ Also Check:
- Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 425 by Prime Factorization
- 425 ÷ 5 = 85
- 85 ÷ 5 = 17
Further dividing 17 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 17 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 425 can be written as 52 × 171 where 5, 17 are prime.
Factors of 425 in Pairs
Pair factors of 425 are the pairs of numbers that when multiplied give the product 425. The factors of 425 in pairs are:
- 1 × 425 = (1, 425)
- 5 × 85 = (5, 85)
- 17 × 25 = (17, 25)
Negative pair factors of 425 are:
- -1 × -425 = (-1, -425)
- -5 × -85 = (-5, -85)
- -17 × -25 = (-17, -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 425 Solved Examples
-
Example 1: How many factors are there for 425?
Solution:
The factors of 425 are 1, 5, 17, 25, 85, 425. Therefore, 425 has 6 factors.
-
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 425 and 30.
Solution:
The factors of 425 are 1, 5, 17, 25, 85, 425 and factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
Therefore, the Least Common Multiple (LCM) of 425 and 30 is 2550 and Greatest Common Factor (GCF) of 425 and 30 is 5. -
Example 3: Find if 1, 17, 25 and 330 are factors of 425.
Solution:
When we divide 425 by 330 it leaves a remainder. Therefore, the number 330 is not a factor of 425. All numbers except 330 are factors of 425.
-
Example 4: Find the product of all the prime factors of 425.
Solution:
Since, the prime factors of 425 are 5, 17. Therefore, the product of prime factors = 5 × 17 = 85.
FAQs on Factors of 425
What are the Factors of 425?
The factors of 425 are 1, 5, 17, 25, 85, 425 and its negative factors are -1, -5, -17, -25, -85, -425.
What is the Sum of all the Factors of 425?
Factors of 425 are 1, 5, 17, 25, 85, 425 and, the sum of all these factors is 1 + 5 + 17 + 25 + 85 + 425 = 558
What Numbers are the Prime Factors of 425?
The prime factors of 425 are 5, 17.
What is the Greatest Common Factor of 425 and 323?
The factors of 425 and 323 are 1, 5, 17, 25, 85, 425 and 1, 17, 19, 323 respectively.
Common factors of 425 and 323 are [1, 17].
Hence, the Greatest Common Factor of 425 and 323 is 17.
How Many Factors of 425 are also Factors of 72?
Since, the factors of 425 are 1, 5, 17, 25, 85, 425 and factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. Hence, 425 and 72 have only one common factor which is 1. Therefore, 425 and 72 are co-prime.
visual curriculum