Factors of 387
Factors of 387 are the list of integers that we can split evenly into 387. It has a total of 6 factors of which 387 is the biggest factor and the positive factors of 387 are 1, 3, 9, 43, 129, 387. The sum of all factors of 387 is 572. Its Prime Factors are 3 × 43 and (1, 387), (3, 129), (9, 43) are Pair Factors.
- All Factors of 387: 1, 3, 9, 43, 129 and 387
- Negative Factors of 387: -1, -3, -9, -43, -129 and -387
- Prime Factors of 387: 3, 43
- Prime Factorization of 387: 32 × 431
- Sum of Factors of 387: 572
1. | What Are the Factors of 387? |
2. | Factors of 387 by Prime Factorization |
3. | Factors of 387 in Pairs |
4. | FAQs on Factors of 387 |
What are Factors of 387?
Factors of 387 are pairs of those numbers whose products result in 387. These factors are either prime numbers or composite numbers.
How to Find the Factors of 387?
To find the factors of 387, we will have to find the list of numbers that would divide 387 without leaving any remainder.
- 387/43 = 9; therefore, 43 is a factor of 387 and 9 is also a factor of 387.
- 387/3 = 129; therefore, 3 is a factor of 387 and 129 is also a factor of 387.
☛ Also Check:
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 13 - The factors of 13 are 1, 13
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 29 - The factors of 29 are 1, 29
Factors of 387 by Prime Factorization
- 387 ÷ 3 = 129
- 129 ÷ 3 = 43
Further dividing 43 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 43 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 387 can be written as 32 × 431 where 3, 43 are prime.
Factors of 387 in Pairs
Pair factors of 387 are the pairs of numbers that when multiplied give the product 387. The factors of 387 in pairs are:
- 1 × 387 = (1, 387)
- 3 × 129 = (3, 129)
- 9 × 43 = (9, 43)
Negative pair factors of 387 are:
- -1 × -387 = (-1, -387)
- -3 × -129 = (-3, -129)
- -9 × -43 = (-9, -43)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 387 Solved Examples
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Example 1: How many factors are there for 387?
Solution:
The factors of 387 are 1, 3, 9, 43, 129, 387. Therefore, 387 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 387 and 217.
Solution:
The factors of 387 are 1, 3, 9, 43, 129, 387 and factors of 217 are 1, 7, 31, 217.
Therefore, the Least Common Multiple of 387 and 217 is 83979 and Greatest Common Divisor (GCD) of 387 and 217 is 1. -
Example 3: Find if 1, 129, 264 and 387 are factors of 387.
Solution:
When we divide 387 by 264 it leaves a remainder. Therefore, the number 264 is not a factor of 387. All numbers except 264 are factors of 387.
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Example 4: Find the product of all the prime factors of 387.
Solution:
Since, the prime factors of 387 are 3, 43. Therefore, the product of prime factors = 3 × 43 = 129.
FAQs on Factors of 387
What are the Factors of 387?
The factors of 387 are 1, 3, 9, 43, 129, 387 and its negative factors are -1, -3, -9, -43, -129, -387.
What is the Sum of all the Factors of 387?
Since, all factors of 387 are 1, 3, 9, 43, 129, 387 therefore, the sum of its factors is 1 + 3 + 9 + 43 + 129 + 387 = 572.
What are Pair Factors of 387?
The pair factors of 387 are (1, 387), (3, 129), (9, 43).
What is the Greatest Common Factor of 387 and 269?
The factors of 387 are 1, 3, 9, 43, 129, 387 and the factors of 269 are 1, 269. 387 and 269 have only one common factor which is 1. This implies that 387 and 269 are co-prime.
Hence, the Greatest Common Factor (GCF) of 387 and 269 is 1.
How Many Factors of 387 are also Factors of 247?
Since, the factors of 387 are 1, 3, 9, 43, 129, 387 and factors of 247 are 1, 13, 19, 247. Hence, 387 and 247 have only one common factor which is 1. Therefore, 387 and 247 are co-prime.
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