Factors of 1375
Factors of 1375 are the list of integers that can be evenly divided into 1375. There are overall 8 factors of 1375 among which 1375 is the biggest factor and its positive factors are 1, 5, 11, 25, 55, 125, 275, 1375. The Pair Factors of 1375 are (1, 1375), (5, 275), (11, 125), (25, 55) and its Prime Factors are 5 × 11.
- All Factors of 1375: 1, 5, 11, 25, 55, 125, 275 and 1375
- Negative Factors of 1375: -1, -5, -11, -25, -55, -125, -275 and -1375
- Prime Factors of 1375: 5, 11
- Prime Factorization of 1375: 53 × 111
- Sum of Factors of 1375: 1872
1. | What Are the Factors of 1375? |
2. | Factors of 1375 by Prime Factorization |
3. | Factors of 1375 in Pairs |
4. | FAQs on Factors of 1375 |
What are Factors of 1375?
Factors of 1375 are pairs of those numbers whose products result in 1375. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1375?
To find the factors of 1375, we will have to find the list of numbers that would divide 1375 without leaving any remainder.
- 1375/25 = 55; therefore, 25 is a factor of 1375 and 55 is also a factor of 1375.
- 1375/275 = 5; therefore, 275 is a factor of 1375 and 5 is also a factor of 1375.
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- Factors of 65 - The factors of 65 are 1, 5, 13, 65
- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Factors of 1375 by Prime Factorization
- 1375 ÷ 5 = 275
- 275 ÷ 5 = 55
- 55 ÷ 5 = 11
Further dividing 11 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 11 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 1375 can be written as 53 × 111 where 5, 11 are prime.
Factors of 1375 in Pairs
Pair factors of 1375 are the pairs of numbers that when multiplied give the product 1375. The factors of 1375 in pairs are:
- 1 × 1375 = (1, 1375)
- 5 × 275 = (5, 275)
- 11 × 125 = (11, 125)
- 25 × 55 = (25, 55)
Negative pair factors of 1375 are:
- -1 × -1375 = (-1, -1375)
- -5 × -275 = (-5, -275)
- -11 × -125 = (-11, -125)
- -25 × -55 = (-25, -55)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1375 Solved Examples
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Example 1: How many factors are there for 1375?
Solution:
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375. Therefore, 1375 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 1375 and 864.
Solution:
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375 and factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864.
Therefore, the Lowest Common Multiple (LCM) of 1375 and 864 is 1188000 and Highest Common Factor (HCF) of 1375 and 864 is 1. -
Example 3: Find if 5, 11, 275, 695 and 1375 are factors of 1375.
Solution:
When we divide 1375 by 695 it leaves a remainder. Therefore, the number 695 is not a factor of 1375. All numbers except 695 are factors of 1375.
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Example 4: Find the product of all the prime factors of 1375.
Solution:
Since, the prime factors of 1375 are 5, 11. Therefore, the product of prime factors = 5 × 11 = 55.
FAQs on Factors of 1375
What are the Factors of 1375?
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375 and its negative factors are -1, -5, -11, -25, -55, -125, -275, -1375.
What is the Sum of the Factors of 1375?
Sum of all factors of 1375 = (53 + 1 - 1)/(5 - 1) × (111 + 1 - 1)/(11 - 1) = 1872
What numbers are the Pair Factors of 1375?
The pair factors of 1375 are (1, 1375), (5, 275), (11, 125), (25, 55).
What is the Greatest Common Factor of 1375 and 686?
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375 and the factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. 1375 and 686 have only one common factor which is 1. This implies that 1375 and 686 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1375 and 686 is 1.
How Many Factors of 1375 are also common to the Factors of 638?
Since, the factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375 and the factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638.
Hence, [1, 11] are the common factors of 1375 and 638.
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