# Factors of 816

Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, and 816

#### How to find factors of a number

 1.   Find factors of 816 using Division Method 2.   Find factors of 816 using Prime Factorization 3.   Find factors of 816 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 816

• Divide 816 by 1: 816 ÷ 1 : Remainder = 0
• Divide 816 by 2: 816 ÷ 2 : Remainder = 0
• Divide 816 by 3: 816 ÷ 3 : Remainder = 0
• Divide 816 by 4: 816 ÷ 4 : Remainder = 0
• Divide 816 by 6: 816 ÷ 6 : Remainder = 0
• Divide 816 by 8: 816 ÷ 8 : Remainder = 0
• Divide 816 by 12: 816 ÷ 12 : Remainder = 0
• Divide 816 by 16: 816 ÷ 16 : Remainder = 0
• Divide 816 by 17: 816 ÷ 17 : Remainder = 0
• Divide 816 by 24: 816 ÷ 24 : Remainder = 0
• Divide 816 by 34: 816 ÷ 34 : Remainder = 0
• Divide 816 by 48: 816 ÷ 48 : Remainder = 0
• Divide 816 by 51: 816 ÷ 51 : Remainder = 0
• Divide 816 by 68: 816 ÷ 68 : Remainder = 0
• Divide 816 by 102: 816 ÷ 102 : Remainder = 0
• Divide 816 by 136: 816 ÷ 136 : Remainder = 0
• Divide 816 by 204: 816 ÷ 204 : Remainder = 0
• Divide 816 by 272: 816 ÷ 272 : Remainder = 0
• Divide 816 by 408: 816 ÷ 408 : Remainder = 0
• Divide 816 by 816: 816 ÷ 816 : Remainder = 0

Hence, Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, and 816

#### 2. Steps to find factors of 816 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 816 using the division method, follow these steps:

• Step 1. Start dividing 816 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 816, which is 2. Divide 816 by 2 to obtain the quotient (408).
816 ÷ 2 = 408
• Step 3. Repeat step 1 with the obtained quotient (408).
408 ÷ 2 = 204
204 ÷ 2 = 102
102 ÷ 2 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1

So, the prime factorization of 816 is, 816 = 2 x 2 x 2 x 2 x 3 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 816 as shown below:

So, the prime factorization of 816 is, 816 = 2 x 2 x 2 x 2 x 3 x 17.

#### 3. Find factors of 816 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 816 would be the two numbers which, when multiplied, give 816 as the result.

The following table represents the calculation of factors of 816 in pairs:

Factor Pair Pair Factorization
1 and 816 1 x 816 = 816
2 and 408 2 x 408 = 816
3 and 272 3 x 272 = 816
4 and 204 4 x 204 = 816
6 and 136 6 x 136 = 816
8 and 102 8 x 102 = 816
12 and 68 12 x 68 = 816
16 and 51 16 x 51 = 816
17 and 48 17 x 48 = 816
24 and 34 24 x 34 = 816

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 816. They are called negative pair factors.

Hence, the negative pairs of 816 would be ( -1 , -816 ) , ( -2 , -408 ) , ( -3 , -272 ) , ( -4 , -204 ) , ( -6 , -136 ) , ( -8 , -102 ) , ( -12 , -68 ) , ( -16 , -51 ) , ( -17 , -48 ) and ( -24 , -34 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 816 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 816.
• Every number is a factor of zero (0), since 816 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, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816 are exact divisors of 816.
• Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. Each factor divides 816 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816 are all less than or equal to 816.

• How do you find factors of a negative number? ( eg. -816 )?

Factors of -816 are -1, -2, -3, -4, -6, -8, -12, -16, -17, -24, -34, -48, -51, -68, -102, -136, -204, -272, -408, -816.

• What is the sum of all factors of 816?

The sum of all factors of 816 is 2232.

• What is prime factorization of 816?

Prime factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17.

• What are the pair factors of 816?

Pair factors of 816 are (1,816), (2,408), (3,272), (4,204), (6,136), (8,102), (12,68), (16,51), (17,48), (24,34).

• What are six multiples of 816?

First five multiples of 816 are 1632, 2448, 3264, 4080, 4896, 5712.

• Is 816 a whole number?

Yes 816 is a whole number.

• Which is the smallest prime factor of 816?

Smallest prime factor of 816 is 2.

• What are five multiples of 816?

First five multiples of 816 are 1632, 2448, 3264, 4080, 4896.

• Write all factors of 816?

Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816.

#### Examples of Factors

Joey wants to write all the prime factors of 816 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 816 are 2, 2, 2, 2, 3, 17.
So in exponential form it can be written as 24 x 3 x 17.

How many factors are there for 816?

Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816.
So there are in total 20 factors.

Kevin has been asked to write 19 factor(s) of 816. Can you predict the answer?

19 factor(s) of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408.

Sammy is puzzled while calculating the prime factors of 816. Can you help him find them?

Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816.
Prime factors of 816 are 2, 2, 2, 2, 3, 17

What is prime factorization of 816?

Prime factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17 = 24 x 3 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 816. Can you help her?

Prime factors of 816 are 2, 2, 2, 2, 3, 17.
Hence, the product of prime factors of 102.

Can you help Rubel to find out the product of the even factors of 816?

Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816.
Even factors of 816 are 2, 4, 6, 8, 12, 16, 24, 34, 48, 68, 102, 136, 204, 272, 408, 816.
Hence, product of even factors of 816 is; 2 x 4 x 6 x 8 x 12 x 16 x 24 x 34 x 48 x 68 x 102 x 136 x 204 x 272 x 408 x 816 = 5.0322387234563345e+25.