Factors of 394
Factors of 394 are numbers that, when multiplied in pairs give the product as 394. There are overall 4 factors of 394 among which 394 is the biggest factor and 1, 2, 197, 394 are positive factors. The Prime Factors of 394 are 2 × 197 and its Factors in Pairs are (1, 394), (2, 197).
- All Factors of 394: 1, 2, 197 and 394
- Negative Factors of 394: -1, -2, -197 and -394
- Prime Factors of 394: 2, 197
- Prime Factorization of 394: 21 × 1971
- Sum of Factors of 394: 594
1. | What Are the Factors of 394? |
2. | Factors of 394 by Prime Factorization |
3. | Factors of 394 in Pairs |
4. | FAQs on Factors of 394 |
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What are Factors of 394?
Factors of 394 are pairs of those numbers whose products result in 394. These factors are either prime numbers or composite numbers.
How to Find the Factors of 394?
To find the factors of 394, we will have to find the list of numbers that would divide 394 without leaving any remainder.
- 394/197 = 2; therefore, 197 is a factor of 394 and 2 is also a factor of 394.
- 394/1 = 394; therefore, 1 is a factor of 394 and 394 is also a factor of 394.
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Factors of 394 by Prime Factorization
- 394 ÷ 2 = 197
Further dividing 197 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 197 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 394 can be written as 21 × 1971 where 2, 197 are prime.
Factors of 394 in Pairs
Pair factors of 394 are the pairs of numbers that when multiplied give the product 394. The factors of 394 in pairs are:
- 1 × 394 = (1, 394)
- 2 × 197 = (2, 197)
Negative pair factors of 394 are:
- -1 × -394 = (-1, -394)
- -2 × -197 = (-2, -197)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 394 Solved Examples
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Example 1: How many factors are there for 394?
Solution:
The factors of 394 are 1, 2, 197, 394. Therefore, 394 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 394 and 364.
Solution:
The factors of 394 are 1, 2, 197, 394 and factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364.
Therefore, the Lowest Common Multiple (LCM) of 394 and 364 is 71708 and Highest Common Factor (HCF) of 394 and 364 is 2. -
Example 3: Find if 1, 211 and 394 are factors of 394.
Solution:
When we divide 394 by 211 it leaves a remainder. Therefore, the number 211 is not a factor of 394. All numbers except 211 are factors of 394.
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Example 4: Find the product of all the prime factors of 394.
Solution:
Since, the prime factors of 394 are 2, 197. Therefore, the product of prime factors = 2 × 197 = 394.
FAQs on Factors of 394
What are the Factors of 394?
The factors of 394 are 1, 2, 197, 394 and its negative factors are -1, -2, -197, -394.
What is the Sum of all the Factors of 394?
All the Factors of 394 are 1, 2, 197, 394 and therefore the sum of all these factors is 1 + 2 + 197 + 394 = 594
What Numbers are the Prime Factors of 394?
The prime factors of 394 are 2, 197.
What is the Greatest Common Factor of 394 and 218?
The factors of 394 and 218 are 1, 2, 197, 394 and 1, 2, 109, 218 respectively.
Common factors of 394 and 218 are [1, 2].
Hence, the Greatest Common Factor of 394 and 218 is 2.
How Many Factors of 394 are also common to the Factors of 142?
Since, the factors of 394 are 1, 2, 197, 394 and the factors of 142 are 1, 2, 71, 142.
Hence, [1, 2] are the common factors of 394 and 142.
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