# Factors of 1715

Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, and 1715

#### How to find factors of a number

 1.   Find factors of 1715 using Division Method 2.   Find factors of 1715 using Prime Factorization 3.   Find factors of 1715 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1715

• Divide 1715 by 1: 1715 ÷ 1 : Remainder = 0
• Divide 1715 by 5: 1715 ÷ 5 : Remainder = 0
• Divide 1715 by 7: 1715 ÷ 7 : Remainder = 0
• Divide 1715 by 35: 1715 ÷ 35 : Remainder = 0
• Divide 1715 by 49: 1715 ÷ 49 : Remainder = 0
• Divide 1715 by 245: 1715 ÷ 245 : Remainder = 0
• Divide 1715 by 343: 1715 ÷ 343 : Remainder = 0
• Divide 1715 by 1715: 1715 ÷ 1715 : Remainder = 0

Hence, Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, and 1715

#### 2. Steps to find factors of 1715 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 1715 using the division method, follow these steps:

• Step 1. Start dividing 1715 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 1715, which is 5. Divide 1715 by 5 to obtain the quotient (343).
1715 ÷ 5 = 343
• Step 3. Repeat step 1 with the obtained quotient (343).
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 1715 is, 1715 = 5 x 7 x 7 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1715 as shown below:

So, the prime factorization of 1715 is, 1715 = 5 x 7 x 7 x 7.

#### 3. Find factors of 1715 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 1715 would be the two numbers which, when multiplied, give 1715 as the result.

The following table represents the calculation of factors of 1715 in pairs:

Factor Pair Pair Factorization
1 and 1715 1 x 1715 = 1715
5 and 343 5 x 343 = 1715
7 and 245 7 x 245 = 1715
35 and 49 35 x 49 = 1715

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 1715. They are called negative pair factors.

Hence, the negative pairs of 1715 would be ( -1 , -1715 ) , ( -5 , -343 ) , ( -7 , -245 ) and ( -35 , -49 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 1715 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 7, 35, 49, 245, 343, 1715 are exact divisors of 1715.
• Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. Each factor divides 1715 without leaving a remainder.

• What are the pair factors of 1715?

Pair factors of 1715 are (1,1715), (5,343), (7,245), (35,49).

• What are five multiples of 1715?

First five multiples of 1715 are 3430, 5145, 6860, 8575, 10290.

• What two numbers make 1715?

Two numbers that make 1715 are 5 and 343.

• What is the sum of all factors of 1715?

The sum of all factors of 1715 is 2400.

• What are factors of -1715?

Factors of -1715 are -1, -5, -7, -35, -49, -245, -343, -1715.

• What are factors of 1715?

Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715.

• Is 1715 a perfect square?

No 1715 is not a perfect square.

• Which is the smallest prime factor of 1715?

Smallest prime factor of 1715 is 5.

• Which is greatest factor of 1715?

The greatest factor of 1715 is 343.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 1715?

Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715.
Odd factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715.
Hence product of odd factors of 1715 is; 1 x 5 x 7 x 35 x 49 x 245 x 343 x 1715 = 8650804500625.

Joey wants to write all the prime factors of 1715 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1715 are 5, 7, 7, 7.
So in exponential form it can be written as 5 x 73.

How many factors are there for 1715?

Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 1715. Can you predict the answer?

7 factor(s) of 1715 are 1, 5, 7, 35, 49, 245, 343.

Sammy is puzzled while calculating the prime factors of 1715. Can you help him find them?

Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715.
Prime factors of 1715 are 5, 7, 7, 7

What is prime factorization of 1715?

Prime factorization of 1715 is 5 x 7 x 7 x 7 = 5 x 73.

Can you help Rubel to find out the product of the even factors of 1715?

Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715.
Even factors of 1715 are 0.
Hence, product of even factors of 1715 is; 0 = 0.