# Factors of 708

Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, and 708

#### How to find factors of a number

 1.   Find factors of 708 using Division Method 2.   Find factors of 708 using Prime Factorization 3.   Find factors of 708 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 708

• Divide 708 by 1: 708 ÷ 1 : Remainder = 0
• Divide 708 by 2: 708 ÷ 2 : Remainder = 0
• Divide 708 by 3: 708 ÷ 3 : Remainder = 0
• Divide 708 by 4: 708 ÷ 4 : Remainder = 0
• Divide 708 by 6: 708 ÷ 6 : Remainder = 0
• Divide 708 by 12: 708 ÷ 12 : Remainder = 0
• Divide 708 by 59: 708 ÷ 59 : Remainder = 0
• Divide 708 by 118: 708 ÷ 118 : Remainder = 0
• Divide 708 by 177: 708 ÷ 177 : Remainder = 0
• Divide 708 by 236: 708 ÷ 236 : Remainder = 0
• Divide 708 by 354: 708 ÷ 354 : Remainder = 0
• Divide 708 by 708: 708 ÷ 708 : Remainder = 0

Hence, Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, and 708

#### 2. Steps to find factors of 708 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 708 using the division method, follow these steps:

• Step 1. Start dividing 708 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 708, which is 2. Divide 708 by 2 to obtain the quotient (354).
708 ÷ 2 = 354
• Step 3. Repeat step 1 with the obtained quotient (354).
354 ÷ 2 = 177
177 ÷ 3 = 59
59 ÷ 59 = 1

So, the prime factorization of 708 is, 708 = 2 x 2 x 3 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 708 as shown below:

So, the prime factorization of 708 is, 708 = 2 x 2 x 3 x 59.

#### 3. Find factors of 708 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 708 would be the two numbers which, when multiplied, give 708 as the result.

The following table represents the calculation of factors of 708 in pairs:

Factor Pair Pair Factorization
1 and 708 1 x 708 = 708
2 and 354 2 x 354 = 708
3 and 236 3 x 236 = 708
4 and 177 4 x 177 = 708
6 and 118 6 x 118 = 708
12 and 59 12 x 59 = 708

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 708. They are called negative pair factors.

Hence, the negative pairs of 708 would be ( -1 , -708 ) , ( -2 , -354 ) , ( -3 , -236 ) , ( -4 , -177 ) , ( -6 , -118 ) and ( -12 , -59 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 708 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 708.
• Every number is a factor of zero (0), since 708 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, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708 are exact divisors of 708.
• Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708. Each factor divides 708 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708 are all less than or equal to 708.

• How do you find factors of a negative number? ( eg. -708 )?

Factors of -708 are -1, -2, -3, -4, -6, -12, -59, -118, -177, -236, -354, -708.

• What is the sum of all factors of 708?

The sum of all factors of 708 is 1680.

• What is prime factorization of 708?

Prime factorization of 708 is 2 x 2 x 3 x 59.

• What are the pair factors of 708?

Pair factors of 708 are (1,708), (2,354), (3,236), (4,177), (6,118), (12,59).

• What are six multiples of 708?

First five multiples of 708 are 1416, 2124, 2832, 3540, 4248, 4956.

• Is 708 a whole number?

Yes 708 is a whole number.

• Which is the smallest prime factor of 708?

Smallest prime factor of 708 is 2.

• What are five multiples of 708?

First five multiples of 708 are 1416, 2124, 2832, 3540, 4248.

• Write all factors of 708?

Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708.

#### Examples of Factors

Joey wants to write all the prime factors of 708 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 708 are 2, 2, 3, 59.
So in exponential form it can be written as 22 x 3 x 59.

How many factors are there for 708?

Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 708. Can you predict the answer?

11 factor(s) of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354.

Sammy is puzzled while calculating the prime factors of 708. Can you help him find them?

Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708.
Prime factors of 708 are 2, 2, 3, 59

What is prime factorization of 708?

Prime factorization of 708 is 2 x 2 x 3 x 59 = 22 x 3 x 59.

Ariel has been assigned the task to find the product of all the prime factors of 708. Can you help her?

Prime factors of 708 are 2, 2, 3, 59.
Hence, the product of prime factors of 354.

Can you help Rubel to find out the product of the even factors of 708?

Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708.
Even factors of 708 are 2, 4, 6, 12, 118, 236, 354, 708.
Hence, product of even factors of 708 is; 2 x 4 x 6 x 12 x 118 x 236 x 354 x 708 = 4020249563136.