1. Steps to find factors of 923 using Division Method

Example: Find factors of 923

  • Divide 923 by 1: 923 ÷ 1 : Remainder = 0
  • Divide 923 by 13: 923 ÷ 13 : Remainder = 0
  • Divide 923 by 71: 923 ÷ 71 : Remainder = 0
  • Divide 923 by 923: 923 ÷ 923 : Remainder = 0

Hence, Factors of 923 are 1, 13, 71, and 923

2. Steps to find factors of 923 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 923 using the division method, follow these steps:

  • Step 1. Start dividing 923 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 923, which is 13. Divide 923 by 13 to obtain the quotient (71).
    923 ÷ 13 = 71
  • Step 3. Repeat step 1 with the obtained quotient (71).
    71 ÷ 71 = 1

So, the prime factorization of 923 is, 923 = 13 x 71.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 923 as shown below:

So, the prime factorization of 923 is, 923 = 13 x 71.

3. Find factors of 923 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 923 would be the two numbers which, when multiplied, give 923 as the result.

The following table represents the calculation of factors of 923 in pairs:

Factor Pair Pair Factorization
1 and 923 1 x 923 = 923
13 and 71 13 x 71 = 923

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 923. They are called negative pair factors.

Hence, the negative pairs of 923 would be ( -1 , -923 ) , ( -13 , -71 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Every number is a factor of zero (0), since 923 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, 13, 71, 923 are exact divisors of 923.
  • Factors of 923 are 1, 13, 71, 923. Each factor divides 923 without leaving a remainder.

Frequently Asked Questions

  • What are the pair factors of 923?

    Pair factors of 923 are (1,923), (13,71).

  • What are five multiples of 923?

    First five multiples of 923 are 1846, 2769, 3692, 4615, 5538.

  • What two numbers make 923?

    Two numbers that make 923 are 13 and 71.

  • What is the sum of all factors of 923?

    The sum of all factors of 923 is 1008.

  • What are factors of -923?

    Factors of -923 are -1, -13, -71, -923.

  • What are factors of 923?

    Factors of 923 are 1, 13, 71, 923.

  • Is 923 a perfect square?

    No 923 is not a perfect square.

  • Which is the smallest prime factor of 923?

    Smallest prime factor of 923 is 13.

  • Which is greatest factor of 923?

    The greatest factor of 923 is 71.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 923?

Factors of 923 are 1, 13, 71, 923.
Odd factors of 923 are 1, 13, 71, 923.
Hence product of odd factors of 923 is; 1 x 13 x 71 x 923 = 851929.

Joey wants to write all the prime factors of 923 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 923 are 13, 71.
So in exponential form it can be written as 13 x 71.

How many factors are there for 923?

Factors of 923 are 1, 13, 71, 923.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 923. Can you predict the answer?

3 factor(s) of 923 are 1, 13, 71.

Sammy is puzzled while calculating the prime factors of 923. Can you help him find them?

Factors of 923 are 1, 13, 71, 923.
Prime factors of 923 are 13, 71

What is prime factorization of 923?

Prime factorization of 923 is 13 x 71 = 13 x 71.

Can you help Rubel to find out the product of the even factors of 923?

Factors of 923 are 1, 13, 71, 923.
Even factors of 923 are 0.
Hence, product of even factors of 923 is; 0 = 0.