1. Steps to find factors of 832 using Division Method

Example: Find factors of 832

  • Divide 832 by 1: 832 ÷ 1 : Remainder = 0
  • Divide 832 by 2: 832 ÷ 2 : Remainder = 0
  • Divide 832 by 4: 832 ÷ 4 : Remainder = 0
  • Divide 832 by 8: 832 ÷ 8 : Remainder = 0
  • Divide 832 by 13: 832 ÷ 13 : Remainder = 0
  • Divide 832 by 16: 832 ÷ 16 : Remainder = 0
  • Divide 832 by 26: 832 ÷ 26 : Remainder = 0
  • Divide 832 by 32: 832 ÷ 32 : Remainder = 0
  • Divide 832 by 52: 832 ÷ 52 : Remainder = 0
  • Divide 832 by 64: 832 ÷ 64 : Remainder = 0
  • Divide 832 by 104: 832 ÷ 104 : Remainder = 0
  • Divide 832 by 208: 832 ÷ 208 : Remainder = 0
  • Divide 832 by 416: 832 ÷ 416 : Remainder = 0
  • Divide 832 by 832: 832 ÷ 832 : Remainder = 0

Hence, Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, and 832

2. Steps to find factors of 832 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 832 using the division method, follow these steps:

  • Step 1. Start dividing 832 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 832, which is 2. Divide 832 by 2 to obtain the quotient (416).
    832 ÷ 2 = 416
  • Step 3. Repeat step 1 with the obtained quotient (416).
    416 ÷ 2 = 208
    208 ÷ 2 = 104
    104 ÷ 2 = 52
    52 ÷ 2 = 26
    26 ÷ 2 = 13
    13 ÷ 13 = 1

So, the prime factorization of 832 is, 832 = 2 x 2 x 2 x 2 x 2 x 2 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 832 as shown below:

So, the prime factorization of 832 is, 832 = 2 x 2 x 2 x 2 x 2 x 2 x 13.

3. Find factors of 832 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 832 would be the two numbers which, when multiplied, give 832 as the result.

The following table represents the calculation of factors of 832 in pairs:

Factor Pair Pair Factorization
1 and 832 1 x 832 = 832
2 and 416 2 x 416 = 832
4 and 208 4 x 208 = 832
8 and 104 8 x 104 = 832
13 and 64 13 x 64 = 832
16 and 52 16 x 52 = 832
26 and 32 26 x 32 = 832

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 832. They are called negative pair factors.

Hence, the negative pairs of 832 would be ( -1 , -832 ) , ( -2 , -416 ) , ( -4 , -208 ) , ( -8 , -104 ) , ( -13 , -64 ) , ( -16 , -52 ) and ( -26 , -32 ) .

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. 832 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 832.
  • Every number is a factor of zero (0), since 832 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, 208, 416, 832 are exact divisors of 832.
  • Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. Each factor divides 832 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, 208, 416, 832 are all less than or equal to 832.

Frequently Asked Questions

  • Is 832 a perfect square?

    No 832 is not a perfect square.

  • What are factors of 832?

    Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.

  • Which is greatest factor of 832?

    The greatest factor of 832 is 416.

  • What is the sum of all factors of 832?

    The sum of all factors of 832 is 1778.

  • What are multiples of 832?

    First five multiples of 832 are 1664, 2496, 3328, 4160.

  • What is the greatest prime factors of 832?

    The greatest prime factor of 832 is 13.

  • What are six multiples of 832?

    First five multiples of 832 are 1664, 2496, 3328, 4160, 4992, 5824.

  • What is prime factorization of 832?

    Prime factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13.

  • Is 832 a whole number?

    Yes 832 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 832? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
Negative factors are -1, -2, -4, -8, -13, -16, -26, -32, -52, -64, -104, -208, -416, -832.

Can you help Sammy find out the product of the odd factors of 832?

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
Odd factors of 832 are 1, 13.
Hence product of odd factors of 832 is; 1 x 13 = 13.

Joey wants to write all the prime factors of 832 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 832 are 2, 2, 2, 2, 2, 2, 13.
So in exponential form it can be written as 26 x 13.

How many factors are there for 832?

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
So there are in total 14 factors.

Kevin has been asked to write 13 factor(s) of 832. Can you predict the answer?

13 factor(s) of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416.

Sammy is puzzled while calculating the prime factors of 832. Can you help him find them?

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
Prime factors of 832 are 2, 2, 2, 2, 2, 2, 13

What is prime factorization of 832?

Prime factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13 = 26 x 13.