# Factors of 882

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, and 882

#### How to find factors of a number

 1.   Find factors of 882 using Division Method 2.   Find factors of 882 using Prime Factorization 3.   Find factors of 882 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 882

• Divide 882 by 1: 882 ÷ 1 : Remainder = 0
• Divide 882 by 2: 882 ÷ 2 : Remainder = 0
• Divide 882 by 3: 882 ÷ 3 : Remainder = 0
• Divide 882 by 6: 882 ÷ 6 : Remainder = 0
• Divide 882 by 7: 882 ÷ 7 : Remainder = 0
• Divide 882 by 9: 882 ÷ 9 : Remainder = 0
• Divide 882 by 14: 882 ÷ 14 : Remainder = 0
• Divide 882 by 18: 882 ÷ 18 : Remainder = 0
• Divide 882 by 21: 882 ÷ 21 : Remainder = 0
• Divide 882 by 42: 882 ÷ 42 : Remainder = 0
• Divide 882 by 49: 882 ÷ 49 : Remainder = 0
• Divide 882 by 63: 882 ÷ 63 : Remainder = 0
• Divide 882 by 98: 882 ÷ 98 : Remainder = 0
• Divide 882 by 126: 882 ÷ 126 : Remainder = 0
• Divide 882 by 147: 882 ÷ 147 : Remainder = 0
• Divide 882 by 294: 882 ÷ 294 : Remainder = 0
• Divide 882 by 441: 882 ÷ 441 : Remainder = 0
• Divide 882 by 882: 882 ÷ 882 : Remainder = 0

Hence, Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, and 882

#### 2. Steps to find factors of 882 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 882 using the division method, follow these steps:

• Step 1. Start dividing 882 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 882, which is 2. Divide 882 by 2 to obtain the quotient (441).
882 ÷ 2 = 441
• Step 3. Repeat step 1 with the obtained quotient (441).
441 ÷ 3 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 882 is, 882 = 2 x 3 x 3 x 7 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 882 as shown below:

So, the prime factorization of 882 is, 882 = 2 x 3 x 3 x 7 x 7.

#### 3. Find factors of 882 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 882 would be the two numbers which, when multiplied, give 882 as the result.

The following table represents the calculation of factors of 882 in pairs:

Factor Pair Pair Factorization
1 and 882 1 x 882 = 882
2 and 441 2 x 441 = 882
3 and 294 3 x 294 = 882
6 and 147 6 x 147 = 882
7 and 126 7 x 126 = 882
9 and 98 9 x 98 = 882
14 and 63 14 x 63 = 882
18 and 49 18 x 49 = 882
21 and 42 21 x 42 = 882

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 882. They are called negative pair factors.

Hence, the negative pairs of 882 would be ( -1 , -882 ) , ( -2 , -441 ) , ( -3 , -294 ) , ( -6 , -147 ) , ( -7 , -126 ) , ( -9 , -98 ) , ( -14 , -63 ) , ( -18 , -49 ) and ( -21 , -42 ) .

#### 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. 882 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, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882 are exact divisors of 882.
• 1 is a factor of every number. Eg. 1 is a factor of 882.
• Every number is a factor of zero (0), since 882 x 0 = 0.

• Which is the smallest prime factor of 882?

Smallest prime factor of 882 is 2.

• Is 882 a perfect square?

No 882 is not a perfect square.

• What are five multiples of 882?

First five multiples of 882 are 1764, 2646, 3528, 4410, 5292.

• What is prime factorization of 882?

Prime factorization of 882 is 2 x 3 x 3 x 7 x 7.

• What are factors of 882?

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.

• How do you find factors of a negative number? ( eg. -882 )?

Factors of -882 are -1, -2, -3, -6, -7, -9, -14, -18, -21, -42, -49, -63, -98, -126, -147, -294, -441, -882.

• Is 882 a whole number?

Yes 882 is a whole number.

• Which is greatest factor of 882?

The greatest factor of 882 is 441.

• What are the prime factors of 882?

The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.
Prime factors of 882 are 2, 3, 3, 7, 7.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 882. Can you help her?

Prime factors of 882 are 2, 3, 3, 7, 7.
Hence, the product of prime factors of 42.

Can you help Rubel to find out the product of the even factors of 882?

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.
Even factors of 882 are 2, 6, 14, 18, 42, 98, 126, 294, 882.
Hence, product of even factors of 882 is; 2 x 6 x 14 x 18 x 42 x 98 x 126 x 294 x 882 = 406671383849472.

Joy wants to calculate mean of all the factors of 882. Help him in finding the mean of 882.

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 882 is 1 + 2 + 3 + 6 + 7 + 9 + 14 + 18 + 21 + 42 + 49 + 63 + 98 + 126 + 147 + 294 + 441 + 882 = 2223.
Hence, the mean of factors of 882 is 2223 ÷ 18 = 123.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 882? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.
Negative factors are -1, -2, -3, -6, -7, -9, -14, -18, -21, -42, -49, -63, -98, -126, -147, -294, -441, -882.

How many factors are there for 882?

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.
So there are in total 18 factors.

Joey wants to write all the prime factors of 882 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 882 are 2, 3, 3, 7, 7.
So in exponential form it can be written as 2 x 32 x 72.

Kevin has been asked to write 17 factor(s) of 882. Can you predict the answer?

17 factor(s) of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441.