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Factors of 956: Prime Factorization, Methods, and Examples
The factors of 956 are the numbers that divide 956 evenly. The factors of a number can also be defined as numbers in pairs that, when multiplied together, result in the same number.
There are six factors of 956 in total, which is why it is regarded as a composite number.
Factors of 956
Here are the factors of number 956.
Factors of 956: 1, 2, 4, 239, 478, and 956
Negative Factors of 957
The negative factors of 956 are similar to their positive aspects, just with a negative sign.
Negative Factors of 956: –1, -2, -4, -239, -478, and -956
Prime Factorization of 956
The prime factorization of 956 is the way of expressing its prime factors in the product form.
Prime Factorization: 2 x 2 x 239
In this article, we will learn about the factors of 956 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.
What Are the Factors of 956?
The factors of 956 are 1, 2, 4, 239, 478, and 956. These numbers are the factors as they do not leave any remainder when divided by 956.
The factors of 956 are classified as prime numbers and composite numbers. The prime factors of the number 956 can be determined using the prime factorization technique.
How To Find the Factors of 956?
You can find the factors of 956 by using the rules of divisibility. The divisibility rule states that any number, when divided by any other natural number, is said to be divisible by the number if the quotient is the whole number and the resulting remainder is zero.
To find the factors of 956, create a list containing the numbers that are exactly divisible by 956 with zero remainders. One important thing to note is that 1 and 956 are 956’s factors, as every natural number has 1 and the number itself as its factor.
1 is also called the universal factor of every number. The factors of 956 are determined as follows:
\[\dfrac{956}{1} = 956\]
\[\dfrac{956}{2} = 478\]
\[\dfrac{956}{4} = 239\]
Therefore, 1, 2, 4, 239, 478, and 956 are the factors of 956.
Total Number of Factors of 956
For 956, there are six positive factors and six negative ones. So in total, there are m factors of 96.
To find the total number of factors of the given number, follow the procedure mentioned below:
- Find the factorization/prime factorization of the given number.
- Demonstrate the prime factorization of the number in the form of exponent form.
- Add 1 to each of the exponents of the prime factor.
- Now, multiply the resulting exponents together. This obtained product is equivalent to the total number of factors of the given number.
By following this procedure, the total number of factors of 956 is given as:
The factorization of 956 is 1 x 2$^2$ x 239.
The exponent of 1 and 239 is 1. The exponent of 2 is 2.
Adding 1 to each and multiplying them together results in twelve.
Therefore, the total number of factors of 956 is 12. Six are positive, and six factors are negative.
Important Notes
Here are some essential points that must be considered while finding the factors of any given number:
- The factor of any given number must be a whole number.
- The factors of the number cannot be in the form of decimals or fractions.
- Factors can be positive as well as negative.
- Negative factors are the additive inverse of the positive factors of a given number.
- The factor of a number cannot be greater than that number.
- Every even number has 2 as its prime factor, the smallest prime factor.
Factors of 956 by Prime Factorization
The number 956 is a composite. Prime factorization is a valuable technique for finding the number’s prime factors and expressing the number as the product of its prime factors.
Before finding the factors of 956 using prime factorization, let us find out what prime factors are. Prime factors are the factors of any given number that are only divisible by 1 and themselves.
To start the prime factorization of 956, start dividing by its most minor prime factor. First, determine that the given number is either even or odd. If it is an even number, then 2 will be the smallest prime factor.
Continue splitting the quotient obtained until 1 is received as the quotient. The prime factorization of 956 can be expressed as:
956 = 2 x 2 x 239
Factors of 956 in Pairs
The factor pairs are the duplet of numbers that, when multiplied together, result in the factorized number. Factor pairs can be more than one depending on the total number of factors given.
For 956, the factor pairs can be found as:
1 x 956 = 956
2 x 478 = 956
4 x 239 = 956
The possible factor pairs of 956 are given as (1, 956), (2, 478), and (4, 239).
All these numbers in pairs, when multiplied, give 956 as the product.
The negative factor pairs of 956 are given as:
-1 x -956 = 956
-2 x -478 = 956
-4 x -239 = 956
It is important to note that in negative factor pairs, the minus sign has been multiplied by the minus sign, due to which the resulting product is the original positive number. Therefore, –1, -2, -4, -239, -478, and -956 are called negative factors of 956.
The list of all the factors of 956, including positive as well as negative numbers, is given below.
Factor list of 956: 1 -1, 2, -2, 4, -4, 239, -239, 478, -478, 956, and -956
Factors of 956 Solved Examples
To better understand the concept of factors, let’s solve some examples.
Example 1
How many factors of 956 are there?
Solution
The total number of Factors of 956 is six.
Factors of 956 are 1, 2, 4, 239, 478, and 956.
Example 2
Find the factors of 956 using prime factorization.
Solution
The prime factorization of 956 is given as:
956 $\div$ 2 = 478
478 $\div$ 2 = 239
239 $\div$ 239 = 1
So the prime factorization of 239 can be written as:
2 x 2 x 239 = 956