Factors of 215
Factors of 215 are integers that can be divided evenly into 215. There are 4 factors of 215, which are 1, 5, 43, 215. Here, 215 is the biggest factor. The sum of all factors of 215 is 264. Its Prime Factors are 5 × 43 and (1, 215), (5, 43) are Pair Factors.
- All Factors of 215: 1, 5, 43 and 215
- Negative Factors of 215: -1, -5, -43 and -215
- Prime Factors of 215: 5, 43
- Prime Factorization of 215: 51 × 431
- Sum of Factors of 215: 264
1. | What Are the Factors of 215? |
2. | Factors of 215 by Prime Factorization |
3. | Factors of 215 in Pairs |
4. | FAQs on Factors of 215 |
What are Factors of 215?
Factors of 215 are pairs of those numbers whose products result in 215. These factors are either prime numbers or composite numbers.
How to Find the Factors of 215?
To find the factors of 215, we will have to find the list of numbers that would divide 215 without leaving any remainder.
- 215/5 = 43; therefore, 5 is a factor of 215 and 43 is also a factor of 215.
- 215/1 = 215; therefore, 1 is a factor of 215 and 215 is also a factor of 215.
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Factors of 215 by Prime Factorization
- 215 ÷ 5 = 43
Further dividing 43 by 5 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 215 can be written as 51 × 431 where 5, 43 are prime.
Factors of 215 in Pairs
Pair factors of 215 are the pairs of numbers that when multiplied give the product 215. The factors of 215 in pairs are:
- 1 × 215 = (1, 215)
- 5 × 43 = (5, 43)
Negative pair factors of 215 are:
- -1 × -215 = (-1, -215)
- -5 × -43 = (-5, -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 215 Solved Examples
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Example 1: How many factors are there for 215?
Solution:
The factors of 215 are 1, 5, 43, 215. Therefore, 215 has 4 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 215 and 148.
Solution:
The factors of 215 are 1, 5, 43, 215 and factors of 148 are 1, 2, 4, 37, 74, 148.
Therefore, the LCM of 215 and 148 is 31820 and Highest Common Factor (HCF) of 215 and 148 is 1. -
Example 3: Find if 21, 43 and 215 are factors of 215.
Solution:
When we divide 215 by 21 it leaves a remainder. Therefore, the number 21 is not a factor of 215. All numbers except 21 are factors of 215.
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Example 4: Find the product of all the prime factors of 215.
Solution:
Since, the prime factors of 215 are 5, 43. Therefore, the product of prime factors = 5 × 43 = 215.
FAQs on Factors of 215
What are the Factors of 215?
The factors of 215 are 1, 5, 43, 215 and its negative factors are -1, -5, -43, -215.
What is the Sum of all the Factors of 215?
All the Factors of 215 are 1, 5, 43, 215 and therefore the sum of all these factors is 1 + 5 + 43 + 215 = 264
What numbers are the Pair Factors of 215?
The pair factors of 215 are (1, 215), (5, 43).
What is the Greatest Common Factor of 215 and 51?
The factors of 215 are 1, 5, 43, 215 and the factors of 51 are 1, 3, 17, 51. 215 and 51 have only one common factor which is 1. This implies that 215 and 51 are co-prime.
Hence, the Greatest Common Factor (GCF) of 215 and 51 is 1.
How Many Factors of 157 are also common to the Factors of 215?
Since, the factors of 215 are 1, 5, 43, 215 and factors of 157 are 1, 157. Hence, 215 and 157 have only one common factor which is 1. Therefore, 215 and 157 are co-prime.
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