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: 5¹ × 7³
• 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

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.

Similarly we can find other factors. Hence, the factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 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

The number 1715 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1715. The first step is to divide the number 1715 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 1715 ÷ 5 = 343

Further dividing 343 by 5 gives a non-zero 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 5¹ × 7³ where 5, 7 are prime.

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.