1. Steps to find factors of 940 using Division Method

Example: Find factors of 940

  • Divide 940 by 1: 940 ÷ 1 : Remainder = 0
  • Divide 940 by 2: 940 ÷ 2 : Remainder = 0
  • Divide 940 by 4: 940 ÷ 4 : Remainder = 0
  • Divide 940 by 5: 940 ÷ 5 : Remainder = 0
  • Divide 940 by 10: 940 ÷ 10 : Remainder = 0
  • Divide 940 by 20: 940 ÷ 20 : Remainder = 0
  • Divide 940 by 47: 940 ÷ 47 : Remainder = 0
  • Divide 940 by 94: 940 ÷ 94 : Remainder = 0
  • Divide 940 by 188: 940 ÷ 188 : Remainder = 0
  • Divide 940 by 235: 940 ÷ 235 : Remainder = 0
  • Divide 940 by 470: 940 ÷ 470 : Remainder = 0
  • Divide 940 by 940: 940 ÷ 940 : Remainder = 0

Hence, Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, and 940

2. Steps to find factors of 940 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 940 using the division method, follow these steps:

  • Step 1. Start dividing 940 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 940, which is 2. Divide 940 by 2 to obtain the quotient (470).
    940 ÷ 2 = 470
  • Step 3. Repeat step 1 with the obtained quotient (470).
    470 ÷ 2 = 235
    235 ÷ 5 = 47
    47 ÷ 47 = 1

So, the prime factorization of 940 is, 940 = 2 x 2 x 5 x 47.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 940 as shown below:

So, the prime factorization of 940 is, 940 = 2 x 2 x 5 x 47.

3. Find factors of 940 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 940 would be the two numbers which, when multiplied, give 940 as the result.

The following table represents the calculation of factors of 940 in pairs:

Factor Pair Pair Factorization
1 and 940 1 x 940 = 940
2 and 470 2 x 470 = 940
4 and 235 4 x 235 = 940
5 and 188 5 x 188 = 940
10 and 94 10 x 94 = 940
20 and 47 20 x 47 = 940

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 940. They are called negative pair factors.

Hence, the negative pairs of 940 would be ( -1 , -940 ) , ( -2 , -470 ) , ( -4 , -235 ) , ( -5 , -188 ) , ( -10 , -94 ) and ( -20 , -47 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 940 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 940.
  • Every number is a factor of zero (0), since 940 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, 5, 10, 20, 47, 94, 188, 235, 470, 940 are exact divisors of 940.
  • Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. Each factor divides 940 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940 are all less than or equal to 940.

Frequently Asked Questions

  • Is 940 a perfect square?

    No 940 is not a perfect square.

  • What are factors of 940?

    Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.

  • Which is greatest factor of 940?

    The greatest factor of 940 is 470.

  • What is the sum of all factors of 940?

    The sum of all factors of 940 is 2016.

  • What are multiples of 940?

    First five multiples of 940 are 1880, 2820, 3760, 4700.

  • What is the greatest prime factors of 940?

    The greatest prime factor of 940 is 47.

  • What are six multiples of 940?

    First five multiples of 940 are 1880, 2820, 3760, 4700, 5640, 6580.

  • What is prime factorization of 940?

    Prime factorization of 940 is 2 x 2 x 5 x 47.

  • Is 940 a whole number?

    Yes 940 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 940? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.
Negative factors are -1, -2, -4, -5, -10, -20, -47, -94, -188, -235, -470, -940.

Can you help Sammy find out the product of the odd factors of 940?

Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.
Odd factors of 940 are 1, 5, 47, 235.
Hence product of odd factors of 940 is; 1 x 5 x 47 x 235 = 55225.

Joey wants to write all the prime factors of 940 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 940 are 2, 2, 5, 47.
So in exponential form it can be written as 22 x 5 x 47.

How many factors are there for 940?

Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 940. Can you predict the answer?

11 factor(s) of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470.

Sammy is puzzled while calculating the prime factors of 940. Can you help him find them?

Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.
Prime factors of 940 are 2, 2, 5, 47

What is prime factorization of 940?

Prime factorization of 940 is 2 x 2 x 5 x 47 = 22 x 5 x 47.