Factors of 995
Factors of 995 are the list of integers that we can split evenly into 995. There are 4 factors of 995 of which 995 itself is the biggest factor and its positive factors are 1, 5, 199, 995. The Pair Factors of 995 are (1, 995), (5, 199) and its Prime Factors are 5 × 199.
- All Factors of 995: 1, 5, 199 and 995
- Negative Factors of 995: -1, -5, -199 and -995
- Prime Factors of 995: 5, 199
- Prime Factorization of 995: 51 × 1991
- Sum of Factors of 995: 1200
1. | What Are the Factors of 995? |
2. | Factors of 995 by Prime Factorization |
3. | Factors of 995 in Pairs |
4. | FAQs on Factors of 995 |
What are Factors of 995?
Factors of 995 are pairs of those numbers whose products result in 995. These factors are either prime numbers or composite numbers.
How to Find the Factors of 995?
To find the factors of 995, we will have to find the list of numbers that would divide 995 without leaving any remainder.
- 995/5 = 199; therefore, 5 is a factor of 995 and 199 is also a factor of 995.
- 995/1 = 995; therefore, 1 is a factor of 995 and 995 is also a factor of 995.
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- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 37 - The factors of 37 are 1, 37
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
Factors of 995 by Prime Factorization
- 995 ÷ 5 = 199
Further dividing 199 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 199 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 995 can be written as 51 × 1991 where 5, 199 are prime.
Factors of 995 in Pairs
Pair factors of 995 are the pairs of numbers that when multiplied give the product 995. The factors of 995 in pairs are:
- 1 × 995 = (1, 995)
- 5 × 199 = (5, 199)
Negative pair factors of 995 are:
- -1 × -995 = (-1, -995)
- -5 × -199 = (-5, -199)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 995 Solved Examples
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Example 1: How many factors are there for 995?
Solution:
The factors of 995 are 1, 5, 199, 995. Therefore, 995 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 995 and 916.
Solution:
The factors of 995 are 1, 5, 199, 995 and factors of 916 are 1, 2, 4, 229, 458, 916.
Therefore, the Least Common Multiple (LCM) of 995 and 916 is 911420 and Greatest Common Divisor (GCD) of 995 and 916 is 1. -
Example 3: Find if 5, 199 and 975 are factors of 995.
Solution:
When we divide 995 by 975 it leaves a remainder. Therefore, the number 975 is not a factor of 995. All numbers except 975 are factors of 995.
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Example 4: Find the product of all the prime factors of 995.
Solution:
Since, the prime factors of 995 are 5, 199. Therefore, the product of prime factors = 5 × 199 = 995.
FAQs on Factors of 995
What are the Factors of 995?
The factors of 995 are 1, 5, 199, 995 and its negative factors are -1, -5, -199, -995.
What is the Sum of Factors of 995?
Factors of 995 are 1, 5, 199, 995 and, the sum of all these factors is 1 + 5 + 199 + 995 = 1200
What numbers are the Pair Factors of 995?
The pair factors of 995 are (1, 995), (5, 199).
What is the Greatest Common Factor of 995 and 416?
The factors of 995 are 1, 5, 199, 995 and the factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. 995 and 416 have only one common factor which is 1. This implies that 995 and 416 are co-prime.
Hence, the Greatest Common Factor (GCF) of 995 and 416 is 1.
How Many Factors of 321 are also common to the Factors of 995?
Since, the factors of 995 are 1, 5, 199, 995 and factors of 321 are 1, 3, 107, 321. Hence, 995 and 321 have only one common factor which is 1. Therefore, 995 and 321 are co-prime.
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