Factors of 4225
Factors of 4225 are the list of integers that we can split evenly into 4225. There are 9 factors of 4225, which are 1, 5, 13, 25, 65, 169, 325, 845, 4225. Here, 4225 is the biggest factor. The Prime Factors of 4225 are 5 × 13 and its Factors in Pairs are (1, 4225), (5, 845), (13, 325), (25, 169), (65, 65).
- All Factors of 4225: 1, 5, 13, 25, 65, 169, 325, 845 and 4225
- Negative Factors of 4225: -1, -5, -13, -25, -65, -169, -325, -845 and -4225
- Prime Factors of 4225: 5, 13
- Prime Factorization of 4225: 52 × 132
- Sum of Factors of 4225: 5673
1. | What Are the Factors of 4225? |
2. | Factors of 4225 by Prime Factorization |
3. | Factors of 4225 in Pairs |
4. | FAQs on Factors of 4225 |

What are Factors of 4225?
Factors of 4225 are pairs of those numbers whose products result in 4225. These factors are either prime numbers or composite numbers.
How to Find the Factors of 4225?
To find the factors of 4225, we will have to find the list of numbers that would divide 4225 without leaving any remainder.
- 4225/1 = 4225; therefore, 1 is a factor of 4225.
- 4225/325 = 13; therefore, 325 is a factor of 4225.
☛ Also Check:
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
- Factors of 35 - The factors of 35 are 1, 5, 7, 35
- Factors of 4 - The factors of 4 are 1, 2, 4
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 37 - The factors of 37 are 1, 37
Factors of 4225 by Prime Factorization
- 4225 ÷ 5 = 845
- 845 ÷ 5 = 169
Further dividing 169 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 169 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 4225 can be written as 52 × 132 where 5, 13 are prime.
Factors of 4225 in Pairs
Pair factors of 4225 are the pairs of numbers that when multiplied give the product 4225. The factors of 4225 in pairs are:
- 1 × 4225 = (1, 4225)
- 5 × 845 = (5, 845)
- 13 × 325 = (13, 325)
- 25 × 169 = (25, 169)
- 65 × 65 = (65, 65)
Negative pair factors of 4225 are:
- -1 × -4225 = (-1, -4225)
- -5 × -845 = (-5, -845)
- -13 × -325 = (-13, -325)
- -25 × -169 = (-25, -169)
- -65 × -65 = (-65, -65)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 4225 Solved Examples
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Example 1: How many factors are there for 4225?
Solution:
The factors of 4225 are too many, therefore if we can find the prime factorization of 4225, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 4225 = 52 × 132
Therefore, the total number of factors are (2 + 1) × (2 + 1) = 3 × 3 = 9 -
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 4225 and 548.
Solution:
The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225 and factors of 548 are 1, 2, 4, 137, 274, 548.
Therefore, the Lowest Common Multiple (LCM) of 4225 and 548 is 2315300 and Greatest Common Factor (GCF) of 4225 and 548 is 1. -
Example 3: Find if 5, 13, 25, 65 and 1049 are factors of 4225.
Solution:
When we divide 4225 by 1049 it leaves a remainder. Therefore, the number 1049 is not a factor of 4225. All numbers except 1049 are factors of 4225.
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Example 4: Find the product of all the prime factors of 4225.
Solution:
Since, the prime factors of 4225 are 5, 13. Therefore, the product of prime factors = 5 × 13 = 65.
FAQs on Factors of 4225
What are the Factors of 4225?
The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225 and its negative factors are -1, -5, -13, -25, -65, -169, -325, -845, -4225.
What is the Sum of all Factors of 4225?
Sum of all factors of 4225 = (52 + 1 - 1)/(5 - 1) × (132 + 1 - 1)/(13 - 1) = 5673
What are the Prime Factors of 4225?
The prime factors of 4225 are 5, 13.
What is the Greatest Common Factor of 4225 and 2513?
The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225 and the factors of 2513 are 1, 7, 359, 2513. 4225 and 2513 have only one common factor which is 1. This implies that 4225 and 2513 are co-prime.
Hence, the Greatest Common Factor (GCF) of 4225 and 2513 is 1.
What are the Common Factors of 4225 and 2070?
Since, the factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225 and the factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070.
Hence, [1, 5] are the common factors of 4225 and 2070.
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