Factors of 10816

2. Steps to find factors of 10816 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 10816 using the division method, follow these steps:

• Step 1. Start dividing 10816 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 10816, which is 2. Divide 10816 by 2 to obtain the quotient (5408).
  10816 ÷ 2 = 5408
• Step 3. Repeat step 1 with the obtained quotient (5408).
  5408 ÷ 2 = 2704
  2704 ÷ 2 = 1352
  1352 ÷ 2 = 676
  676 ÷ 2 = 338
  338 ÷ 2 = 169
  169 ÷ 13 = 13
  13 ÷ 13 = 1

So, the prime factorization of 10816 is, 10816 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 10816 as shown below:

So, the prime factorization of 10816 is, 10816 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13.

3. Find factors of 10816 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 10816 would be the two numbers which, when multiplied, give 10816 as the result.

The following table represents the calculation of factors of 10816 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 10816. They are called negative pair factors.

Hence, the negative pairs of 10816 would be ( -1 , -10816 ) , ( -2 , -5408 ) , ( -4 , -2704 ) , ( -8 , -1352 ) , ( -13 , -832 ) , ( -16 , -676 ) , ( -26 , -416 ) , ( -32 , -338 ) , ( -52 , -208 ) , ( -64 , -169 ) and ( -104 , -104 ) .

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. 10816 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 10816.
• Every number is a factor of zero (0), since 10816 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, 4, 8, 13, 16, 26, 32, 52, 64, 104, 169, 208, 338, 416, 676, 832, 1352, 2704, 5408, 10816 are exact divisors of 10816.
• Factors of 10816 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 169, 208, 338, 416, 676, 832, 1352, 2704, 5408, 10816. Each factor divides 10816 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 169, 208, 338, 416, 676, 832, 1352, 2704, 5408, 10816 are all less than or equal to 10816.

Frequently Asked Questions

• Which is the smallest prime factor of 10816?

  The smallest prime factor of 10816 is 2.

• Is 10816 a whole number?

  Yes 10816 is a whole number.

• What are the prime factors of 10816?

  The factors of 10816 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 169, 208, 338, 416, 676, 832, 1352, 2704, 5408, 10816.
  Prime factors of 10816 are 2, 2, 2, 2, 2, 2, 13, 13.

• What two numbers make 10816?

  Two numbers that make 10816 are 2 and 5408.

• What are multiples of 10816?

  First five multiples of 10816 are 21632, 32448, 43264, 54080.

• What is the sum of all factors of 10816?

  The sum of all factors of 10816 is 23241.

• What are five multiples of 10816?

  First five multiples of 10816 are 21632, 32448, 43264, 54080, 64896.

• Is 10816 a perfect square?

  Yes 10816 is a perfect square.

• What is the greatest prime factors of 10816?

  The greatest prime factor of 10816 is 13.

Examples of Factors