Factors of 335
Factors of 335 are the list of integers that we can split evenly into 335. There are overall 4 factors of 335 i.e. 1, 5, 67, 335 where 335 is the biggest factor. The Pair Factors of 335 are (1, 335), (5, 67) and its Prime Factors are 5 × 67.
- All Factors of 335: 1, 5, 67 and 335
- Negative Factors of 335: -1, -5, -67 and -335
- Prime Factors of 335: 5, 67
- Prime Factorization of 335: 51 × 671
- Sum of Factors of 335: 408
1. | What Are the Factors of 335? |
2. | Factors of 335 by Prime Factorization |
3. | Factors of 335 in Pairs |
4. | FAQs on Factors of 335 |
What are Factors of 335?
Factors of 335 are pairs of those numbers whose products result in 335. These factors are either prime numbers or composite numbers.
How to Find the Factors of 335?
To find the factors of 335, we will have to find the list of numbers that would divide 335 without leaving any remainder.
- 335/67 = 5; therefore, 67 is a factor of 335 and 5 is also a factor of 335.
- 335/335 = 1; therefore, 335 is a factor of 335 and 1 is also a factor of 335.
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- Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
Factors of 335 by Prime Factorization
- 335 ÷ 5 = 67
Further dividing 67 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 67 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 335 can be written as 51 × 671 where 5, 67 are prime.
Factors of 335 in Pairs
Pair factors of 335 are the pairs of numbers that when multiplied give the product 335. The factors of 335 in pairs are:
- 1 × 335 = (1, 335)
- 5 × 67 = (5, 67)
Negative pair factors of 335 are:
- -1 × -335 = (-1, -335)
- -5 × -67 = (-5, -67)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 335 Solved Examples
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Example 1: How many factors are there for 335?
Solution:
The factors of 335 are 1, 5, 67, 335. Therefore, 335 has 4 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 335 and 296.
Solution:
The factors of 335 are 1, 5, 67, 335 and factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296.
Therefore, the LCM of 335 and 296 is 99160 and Greatest Common Factor (GCF) of 335 and 296 is 1. -
Example 3: Find if 1, 5 and 325 are factors of 335.
Solution:
When we divide 335 by 325 it leaves a remainder. Therefore, the number 325 is not a factor of 335. All numbers except 325 are factors of 335.
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Example 4: Find the product of all the prime factors of 335.
Solution:
Since, the prime factors of 335 are 5, 67. Therefore, the product of prime factors = 5 × 67 = 335.
FAQs on Factors of 335
What are the Factors of 335?
The factors of 335 are 1, 5, 67, 335 and its negative factors are -1, -5, -67, -335.
What is the Sum of all Factors of 335?
Factors of 335 are 1, 5, 67, 335 and, the sum of all these factors is 1 + 5 + 67 + 335 = 408
What Numbers are the Prime Factors of 335?
The prime factors of 335 are 5, 67.
What is the Greatest Common Factor of 335 and 252?
The factors of 335 are 1, 5, 67, 335 and the factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. 335 and 252 have only one common factor which is 1. This implies that 335 and 252 are co-prime.
Hence, the Greatest Common Factor (GCF) of 335 and 252 is 1.
How Many Factors of 335 are also Factors of 62?
Since, the factors of 335 are 1, 5, 67, 335 and factors of 62 are 1, 2, 31, 62. Hence, 335 and 62 have only one common factor which is 1. Therefore, 335 and 62 are co-prime.
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