Factors of 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:

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.

Frequently Asked Questions

• 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