Factors of 1715
Factors of 1715 are numbers that, when multiplied in pairs give the product as 1715. There are 8 factors of 1715 of which 1715 itself is the biggest factor and its positive factors are 1, 5, 7, 35, 49, 245, 343, 1715. The sum of all factors of 1715 is 2400. Its Prime Factors are 5 × 7 and (1, 1715), (5, 343), (7, 245), (35, 49) are Pair Factors.
 All Factors of 1715: 1, 5, 7, 35, 49, 245, 343 and 1715
 Negative Factors of 1715: 1, 5, 7, 35, 49, 245, 343 and 1715
 Prime Factors of 1715: 5, 7
 Prime Factorization of 1715: 5^{1} × 7^{3}
 Sum of Factors of 1715: 2400
1.  What Are the Factors of 1715? 
2.  Factors of 1715 by Prime Factorization 
3.  Factors of 1715 in Pairs 
4.  FAQs on Factors of 1715 
What are Factors of 1715?
Factors of 1715 are pairs of those numbers whose products result in 1715. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1715?
To find the factors of 1715, we will have to find the list of numbers that would divide 1715 without leaving any remainder.
 1715/7 = 245; therefore, 7 is a factor of 1715 and 245 is also a factor of 1715.
 1715/343 = 5; therefore, 343 is a factor of 1715 and 5 is also a factor of 1715.
☛ Also Check:
 Factors of 70  The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
 Factors of 26  The factors of 26 are 1, 2, 13, 26
 Factors of 35  The factors of 35 are 1, 5, 7, 35
 Factors of 13  The factors of 13 are 1, 13
 Factors of 8  The factors of 8 are 1, 2, 4, 8
Factors of 1715 by Prime Factorization
 1715 ÷ 5 = 343
Further dividing 343 by 5 gives a nonzero remainder. So we stop the process and continue dividing the number 343 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 1715 can be written as 5^{1} × 7^{3} where 5, 7 are prime.
Factors of 1715 in Pairs
Pair factors of 1715 are the pairs of numbers that when multiplied give the product 1715. The factors of 1715 in pairs are:
 1 × 1715 = (1, 1715)
 5 × 343 = (5, 343)
 7 × 245 = (7, 245)
 35 × 49 = (35, 49)
Negative pair factors of 1715 are:
 1 × 1715 = (1, 1715)
 5 × 343 = (5, 343)
 7 × 245 = (7, 245)
 35 × 49 = (35, 49)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1715 Solved Examples

Example 1: How many factors are there for 1715?
Solution:
The factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. Therefore, 1715 has 8 factors.

Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1715 and 698.
Solution:
The factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715 and factors of 698 are 1, 2, 349, 698.
Therefore, the Lowest Common Multiple (LCM) of 1715 and 698 is 1197070 and Greatest Common Divisor (GCD) of 1715 and 698 is 1. 
Example 3: Find if 1, 5, 7, 343 and 456 are factors of 1715.
Solution:
When we divide 1715 by 456 it leaves a remainder. Therefore, the number 456 is not a factor of 1715. All numbers except 456 are factors of 1715.

Example 4: Find the product of all the prime factors of 1715.
Solution:
Since, the prime factors of 1715 are 5, 7. Therefore, the product of prime factors = 5 × 7 = 35.
FAQs on Factors of 1715
What are the Factors of 1715?
The factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715 and its negative factors are 1, 5, 7, 35, 49, 245, 343, 1715.
What is the Sum of all the Factors of 1715?
Sum of all factors of 1715 = (5^{1 + 1}  1)/(5  1) × (7^{3 + 1}  1)/(7  1) = 2400
What are the Prime Factors of 1715?
The prime factors of 1715 are 5, 7.
What is the Greatest Common Factor of 1715 and 1183?
The factors of 1715 and 1183 are 1, 5, 7, 35, 49, 245, 343, 1715 and 1, 7, 13, 91, 169, 1183 respectively.
Common factors of 1715 and 1183 are [1, 7].
Hence, the Greatest Common Factor (GCF) of 1715 and 1183 is 7.
What are the Common Factors of 1715 and 328?
Since, the factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715 and factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. Hence, 1715 and 328 have only one common factor which is 1. Therefore, 1715 and 328 are coprime.
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