# Factors of 715

Factors of 715 are 1, 5, 11, 13, 55, 65, 143, and 715

#### How to find factors of a number

 1.   Find factors of 715 using Division Method 2.   Find factors of 715 using Prime Factorization 3.   Find factors of 715 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 715

• Divide 715 by 1: 715 ÷ 1 : Remainder = 0
• Divide 715 by 5: 715 ÷ 5 : Remainder = 0
• Divide 715 by 11: 715 ÷ 11 : Remainder = 0
• Divide 715 by 13: 715 ÷ 13 : Remainder = 0
• Divide 715 by 55: 715 ÷ 55 : Remainder = 0
• Divide 715 by 65: 715 ÷ 65 : Remainder = 0
• Divide 715 by 143: 715 ÷ 143 : Remainder = 0
• Divide 715 by 715: 715 ÷ 715 : Remainder = 0

Hence, Factors of 715 are 1, 5, 11, 13, 55, 65, 143, and 715

#### 2. Steps to find factors of 715 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 715 using the division method, follow these steps:

• Step 1. Start dividing 715 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 715, which is 5. Divide 715 by 5 to obtain the quotient (143).
715 ÷ 5 = 143
• Step 3. Repeat step 1 with the obtained quotient (143).
143 ÷ 11 = 13
13 ÷ 13 = 1

So, the prime factorization of 715 is, 715 = 5 x 11 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 715 as shown below:

So, the prime factorization of 715 is, 715 = 5 x 11 x 13.

#### 3. Find factors of 715 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 715 would be the two numbers which, when multiplied, give 715 as the result.

The following table represents the calculation of factors of 715 in pairs:

Factor Pair Pair Factorization
1 and 715 1 x 715 = 715
5 and 143 5 x 143 = 715
11 and 65 11 x 65 = 715
13 and 55 13 x 55 = 715

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 715. They are called negative pair factors.

Hence, the negative pairs of 715 would be ( -1 , -715 ) , ( -5 , -143 ) , ( -11 , -65 ) and ( -13 , -55 ) .

#### 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 715 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, 11, 13, 55, 65, 143, 715 are exact divisors of 715.
• Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. Each factor divides 715 without leaving a remainder.

• Is 715 a perfect square?

No 715 is not a perfect square.

• What are factors of 715?

Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715.

• Which is greatest factor of 715?

The greatest factor of 715 is 143.

• What is the sum of all factors of 715?

The sum of all factors of 715 is 1008.

• What are multiples of 715?

First five multiples of 715 are 1430, 2145, 2860, 3575.

• What is the greatest prime factors of 715?

The greatest prime factor of 715 is 13.

• What are six multiples of 715?

First five multiples of 715 are 1430, 2145, 2860, 3575, 4290, 5005.

• What is prime factorization of 715?

Prime factorization of 715 is 5 x 11 x 13.

• Is 715 a whole number?

Yes 715 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 715? Help her in writing all the factors.

Positive factors are 1, 5, 11, 13, 55, 65, 143, 715.
Negative factors are -1, -5, -11, -13, -55, -65, -143, -715.

Can you help Sammy find out the product of the odd factors of 715?

Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715.
Odd factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715.
Hence product of odd factors of 715 is; 1 x 5 x 11 x 13 x 55 x 65 x 143 x 715 = 261351000625.

Joey wants to write all the prime factors of 715 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 715 are 5, 11, 13.
So in exponential form it can be written as 5 x 11 x 13.

How many factors are there for 715?

Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 715. Can you predict the answer?

7 factor(s) of 715 are 1, 5, 11, 13, 55, 65, 143.

Sammy is puzzled while calculating the prime factors of 715. Can you help him find them?

Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715.
Prime factors of 715 are 5, 11, 13

What is prime factorization of 715?

Prime factorization of 715 is 5 x 11 x 13 = 5 x 11 x 13.