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Factors of 940

Factors of 940 are the list of integers that we can split evenly into 940. There are overall 12 factors of 940 among which 940 is the biggest factor and 2, 5, 47 are its prime factors. The sum of all factors of 940 is 2016.

All Factors of 940: 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470 and 940
Prime Factors of 940: 2, 5, 47
Prime Factorization of 940: 2² × 5¹ × 47¹
Sum of Factors of 940: 2016

1.	What Are the Factors of 940?
2.	Factors of 940 by Prime Factorization
3.	Factors of 940 in Pairs
4.	FAQs on Factors of 940

What are Factors of 940?

Factors of 940 are pairs of those numbers whose products result in 940. These factors are either prime numbers or composite numbers.

How to Find the Factors of 940?

To find the factors of 940, we will have to find the list of numbers that would divide 940 without leaving any remainder.

940/1 = 940; therefore, 1 is a factor of 940.
940/94 = 10; therefore, 94 is a factor of 940.

Similarly we can find other factors. Hence, the factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.

☛ Also Check:

Factors of 19 - The factors of 19 are 1, 19
Factors of 13 - The factors of 13 are 1, 13
Factors of 25 - The factors of 25 are 1, 5, 25
Factors of 10 - The factors of 10 are 1, 2, 5, 10
Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

Factors of 940 by Prime Factorization

The number 940 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 940. The first step is to divide the number 940 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

940 ÷ 2 = 470
470 ÷ 2 = 235

Further dividing 235 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 235 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 940 can be written as 2² × 5¹ × 47¹ where 2, 5, 47 are prime.

Factors of 940 in Pairs

Pair factors of 940 are the pairs of numbers that when multiplied give the product 940. The factors of 940 in pairs are:

1 × 940 = (1, 940)
2 × 470 = (2, 470)
4 × 235 = (4, 235)
5 × 188 = (5, 188)
10 × 94 = (10, 94)
20 × 47 = (20, 47)

Negative pair factors of 940 are:

-1 × -940 = (-1, -940)
-2 × -470 = (-2, -470)
-4 × -235 = (-4, -235)
-5 × -188 = (-5, -188)
-10 × -94 = (-10, -94)
-20 × -47 = (-20, -47)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 940 Solved Examples

Example 1: How many factors are there for 940?

Solution:

The factors of 940 are too many, therefore if we can find the prime factorization of 940, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is a^x × b^y × c^z where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

Prime Factorization of 940 = 2² × 5¹ × 47¹
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12
Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 940 and 852.

Solution:

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940 and factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852.

Therefore, the Least Common Multiple of 940 and 852 is 200220 and Greatest Common Divisor (GCD) of 940 and 852 is 4.
Example 3: Find if 10, 20, 47, 235, 470, 910 and 940 are factors of 940.

Solution:

When we divide 940 by 910 it leaves a remainder. Therefore, the number 910 is not a factor of 940. All numbers except 910 are factors of 940.
Example 4: Find the product of all the prime factors of 940.

Solution:

Since, the prime factors of 940 are 2, 5, 47. Therefore, the product of prime factors = 2 × 5 × 47 = 470.

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FAQs on Factors of 940

What are the Factors of 940?

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940 and its negative factors are -1, -2, -4, -5, -10, -20, -47, -94, -188, -235, -470, -940.

What is the Sum of Factors of 940?

Sum of all factors of 940 = (2^{2 + 1} - 1)/(2 - 1) × (5^{1 + 1} - 1)/(5 - 1) × (47^{1 + 1} - 1)/(47 - 1) = 2016

What numbers are the Pair Factors of 940?

The pair factors of 940 are (1, 940), (2, 470), (4, 235), (5, 188), (10, 94), (20, 47).

What is the Greatest Common Factor of 940 and 851?

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940 and the factors of 851 are 1, 23, 37, 851. 940 and 851 have only one common factor which is 1. This implies that 940 and 851 are co-prime.

Hence, the Greatest Common Factor (GCF) of 940 and 851 is 1.

How Many Factors of 178 are also common to the Factors of 940?

Since, the factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940 and the factors of 178 are 1, 2, 89, 178.
Hence, [1, 2] are the common factors of 940 and 178.

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