Factors of 393
Factors of 393 are integers that can be divided evenly into 393. There are overall 4 factors of 393 among which 393 is the biggest factor and its positive factors are 1, 3, 131, 393. The Pair Factors of 393 are (1, 393), (3, 131) and its Prime Factors are 3 × 131.
- All Factors of 393: 1, 3, 131 and 393
- Negative Factors of 393: -1, -3, -131 and -393
- Prime Factors of 393: 3, 131
- Prime Factorization of 393: 31 × 1311
- Sum of Factors of 393: 528
1. | What Are the Factors of 393? |
2. | Factors of 393 by Prime Factorization |
3. | Factors of 393 in Pairs |
4. | FAQs on Factors of 393 |
What are Factors of 393?
Factors of 393 are pairs of those numbers whose products result in 393. These factors are either prime numbers or composite numbers.
How to Find the Factors of 393?
To find the factors of 393, we will have to find the list of numbers that would divide 393 without leaving any remainder.
- 393/131 = 3; therefore, 131 is a factor of 393 and 3 is also a factor of 393.
- 393/393 = 1; therefore, 393 is a factor of 393 and 1 is also a factor of 393.
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- Factors of 29 - The factors of 29 are 1, 29
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
Factors of 393 by Prime Factorization
- 393 ÷ 3 = 131
Further dividing 131 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 131 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 393 can be written as 31 × 1311 where 3, 131 are prime.
Factors of 393 in Pairs
Pair factors of 393 are the pairs of numbers that when multiplied give the product 393. The factors of 393 in pairs are:
- 1 × 393 = (1, 393)
- 3 × 131 = (3, 131)
Negative pair factors of 393 are:
- -1 × -393 = (-1, -393)
- -3 × -131 = (-3, -131)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 393 Solved Examples
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Example 1: How many factors are there for 393?
Solution:
The factors of 393 are 1, 3, 131, 393. Therefore, 393 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 393 and 349.
Solution:
The factors of 393 are 1, 3, 131, 393 and factors of 349 are 1, 349.
Therefore, the Lowest Common Multiple (LCM) of 393 and 349 is 137157 and Greatest Common Factor (GCF) of 393 and 349 is 1. -
Example 3: Find if 3, 241 and 393 are factors of 393.
Solution:
When we divide 393 by 241 it leaves a remainder. Therefore, the number 241 is not a factor of 393. All numbers except 241 are factors of 393.
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Example 4: Find the product of all the prime factors of 393.
Solution:
Since, the prime factors of 393 are 3, 131. Therefore, the product of prime factors = 3 × 131 = 393.
FAQs on Factors of 393
What are the Factors of 393?
The factors of 393 are 1, 3, 131, 393 and its negative factors are -1, -3, -131, -393.
What is the Sum of Factors of 393?
Factors of 393 are 1, 3, 131, 393 and, the sum of all these factors is 1 + 3 + 131 + 393 = 528
What are the Prime Factors of 393?
The prime factors of 393 are 3, 131.
What is the Greatest Common Factor of 393 and 92?
The factors of 393 are 1, 3, 131, 393 and the factors of 92 are 1, 2, 4, 23, 46, 92. 393 and 92 have only one common factor which is 1. This implies that 393 and 92 are co-prime.
Hence, the Greatest Common Factor (GCF) of 393 and 92 is 1.
How Many Factors of 393 are also common to the Factors of 377?
Since, the factors of 393 are 1, 3, 131, 393 and factors of 377 are 1, 13, 29, 377. Hence, 393 and 377 have only one common factor which is 1. Therefore, 393 and 377 are co-prime.
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