# Factors of 682

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, and 682

#### How to find factors of a number

 1.   Find factors of 682 using Division Method 2.   Find factors of 682 using Prime Factorization 3.   Find factors of 682 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 682

• Divide 682 by 1: 682 ÷ 1 : Remainder = 0
• Divide 682 by 2: 682 ÷ 2 : Remainder = 0
• Divide 682 by 11: 682 ÷ 11 : Remainder = 0
• Divide 682 by 22: 682 ÷ 22 : Remainder = 0
• Divide 682 by 31: 682 ÷ 31 : Remainder = 0
• Divide 682 by 62: 682 ÷ 62 : Remainder = 0
• Divide 682 by 341: 682 ÷ 341 : Remainder = 0
• Divide 682 by 682: 682 ÷ 682 : Remainder = 0

Hence, Factors of 682 are 1, 2, 11, 22, 31, 62, 341, and 682

#### 2. Steps to find factors of 682 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 682 using the division method, follow these steps:

• Step 1. Start dividing 682 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 682, which is 2. Divide 682 by 2 to obtain the quotient (341).
682 ÷ 2 = 341
• Step 3. Repeat step 1 with the obtained quotient (341).
341 ÷ 11 = 31
31 ÷ 31 = 1

So, the prime factorization of 682 is, 682 = 2 x 11 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 682 as shown below:

So, the prime factorization of 682 is, 682 = 2 x 11 x 31.

#### 3. Find factors of 682 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 682 would be the two numbers which, when multiplied, give 682 as the result.

The following table represents the calculation of factors of 682 in pairs:

Factor Pair Pair Factorization
1 and 682 1 x 682 = 682
2 and 341 2 x 341 = 682
11 and 62 11 x 62 = 682
22 and 31 22 x 31 = 682

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 682. They are called negative pair factors.

Hence, the negative pairs of 682 would be ( -1 , -682 ) , ( -2 , -341 ) , ( -11 , -62 ) and ( -22 , -31 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 682 is a factor of itself.
• 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, 11, 22, 31, 62, 341, 682 are exact divisors of 682.
• 1 is a factor of every number. Eg. 1 is a factor of 682.
• Every number is a factor of zero (0), since 682 x 0 = 0.

• Which is the smallest prime factor of 682?

The smallest prime factor of 682 is 2.

• Is 682 a whole number?

Yes 682 is a whole number.

• What are the prime factors of 682?

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.
Prime factors of 682 are 2, 11, 31.

• What two numbers make 682?

Two numbers that make 682 are 2 and 341.

• What are multiples of 682?

First five multiples of 682 are 1364, 2046, 2728, 3410.

• What is the sum of all factors of 682?

The sum of all factors of 682 is 1152.

• What are five multiples of 682?

First five multiples of 682 are 1364, 2046, 2728, 3410, 4092.

• Is 682 a perfect square?

No 682 is not a perfect square.

• What is the greatest prime factors of 682?

The greatest prime factor of 682 is 31.

#### Examples of Factors

How many factors are there for 682?

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 682. Can you predict the answer?

7 factor(s) of 682 are 1, 2, 11, 22, 31, 62, 341.

Sammy is puzzled while calculating the prime factors of 682. Can you help him find them?

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.
Prime factors of 682 are 2, 11, 31

What is prime factorization of 682?

Prime factorization of 682 is 2 x 11 x 31 = 2 x 11 x 31.

Ariel has been assigned the task to find the product of all the prime factors of 682. Can you help her?

Prime factors of 682 are 2, 11, 31.
Hence, the product of prime factors of 682.

Can you help Rubel to find out the product of the even factors of 682?

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.
Even factors of 682 are 2, 22, 62, 682.
Hence, product of even factors of 682 is; 2 x 22 x 62 x 682 = 1860496.

Joy wants to calculate mean of all the factors of 682. Help him in finding the mean of 682.

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 682 is 1 + 2 + 11 + 22 + 31 + 62 + 341 + 682 = 1152.
Hence, the mean of factors of 682 is 1152 ÷ 8 = 144.00.