Factors of 1425
Factors of 1425 are the list of integers that can be evenly divided into 1425. There are overall 12 factors of 1425, of which 3, 5, 19 are its prime factors. The Prime Factorization of 1425 is 31 × 52 × 191.
- All Factors of 1425: 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475 and 1425
- Prime Factors of 1425: 3, 5, 19
- Prime Factorization of 1425: 31 × 52 × 191
- Sum of Factors of 1425: 2480
1. | What Are the Factors of 1425? |
2. | Factors of 1425 by Prime Factorization |
3. | Factors of 1425 in Pairs |
4. | FAQs on Factors of 1425 |

What are Factors of 1425?
Factors of 1425 are pairs of those numbers whose products result in 1425. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1425?
To find the factors of 1425, we will have to find the list of numbers that would divide 1425 without leaving any remainder.
- 1425/5 = 285; therefore, 5 is a factor of 1425 and 285 is also a factor of 1425.
- 1425/25 = 57; therefore, 25 is a factor of 1425 and 57 is also a factor of 1425.
☛ Also Check:
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
Factors of 1425 by Prime Factorization
- 1425 ÷ 3 = 475
Further dividing 475 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 475 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 1425 can be written as 31 × 52 × 191 where 3, 5, 19 are prime.
Factors of 1425 in Pairs
Pair factors of 1425 are the pairs of numbers that when multiplied give the product 1425. The factors of 1425 in pairs are:
- 1 × 1425 = (1, 1425)
- 3 × 475 = (3, 475)
- 5 × 285 = (5, 285)
- 15 × 95 = (15, 95)
- 19 × 75 = (19, 75)
- 25 × 57 = (25, 57)
Negative pair factors of 1425 are:
- -1 × -1425 = (-1, -1425)
- -3 × -475 = (-3, -475)
- -5 × -285 = (-5, -285)
- -15 × -95 = (-15, -95)
- -19 × -75 = (-19, -75)
- -25 × -57 = (-25, -57)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1425 Solved Examples
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Example 1: How many factors are there for 1425?
Solution:
The factors of 1425 are too many, therefore if we can find the prime factorization of 1425, 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 1425 = 31 × 52 × 191
Therefore, the total number of factors are (1 + 1) × (2 + 1) × (1 + 1) = 2 × 3 × 2 = 12 -
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1425 and 199.
Solution:
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425 and factors of 199 are 1, 199.
Therefore, the Least Common Multiple (LCM) of 1425 and 199 is 283575 and Greatest Common Divisor (GCD) of 1425 and 199 is 1. -
Example 3: Find if 5, 15, 19, 25, 285, 425 and 475 are factors of 1425.
Solution:
When we divide 1425 by 425 it leaves a remainder. Therefore, the number 425 is not a factor of 1425. All numbers except 425 are factors of 1425.
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Example 4: Find the product of all the prime factors of 1425.
Solution:
Since, the prime factors of 1425 are 3, 5, 19. Therefore, the product of prime factors = 3 × 5 × 19 = 285.
FAQs on Factors of 1425
What are the Factors of 1425?
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425 and its negative factors are -1, -3, -5, -15, -19, -25, -57, -75, -95, -285, -475, -1425.
What is the Sum of Factors of 1425?
Sum of all factors of 1425 = (31 + 1 - 1)/(3 - 1) × (52 + 1 - 1)/(5 - 1) × (191 + 1 - 1)/(19 - 1) = 2480
What numbers are the Pair Factors of 1425?
The pair factors of 1425 are (1, 1425), (3, 475), (5, 285), (15, 95), (19, 75), (25, 57).
What is the Greatest Common Factor of 1425 and 871?
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425 and the factors of 871 are 1, 13, 67, 871. 1425 and 871 have only one common factor which is 1. This implies that 1425 and 871 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1425 and 871 is 1.
How Many Factors of 1425 are also common to the Factors of 81?
Since, the factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425 and the factors of 81 are 1, 3, 9, 27, 81.
Hence, [1, 3] are the common factors of 1425 and 81.
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