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Factors of 958: Prime Factorization, Methods, and Examples
The numbers 1, 2, 479, and 958 which are completely used as the divisor, and giving the whole numbers as a quotient with 958 as dividend then those four numbers are said to be a factor of 958.
Factors of 958
Here are the factors of number 958.
Factors of 958: 1, 2, 479, and 958
Negative Factors of 958
The negative factors of 958 are similar to its positive aspects, just with a negative sign.
Negative Factors of 958: -1, -2, -479 and -958
Prime Factorization of 958
The prime factorization of 958 is the way of expressing its prime factors in the product form.
Prime Factorization: 2 x 479
In this article, we will learn about the factors of 958 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.
What Are the Factors of 958?
The factors of 958 are 1, 2, 479, and 958. These numbers are the factors as they do not leave any remainder when divided by 958.
The factors of 958 are classified as prime numbers and composite numbers. The prime factors of the number 958 can be determined using the prime factorization technique.
How To Find the Factors of 958?
You can find the factors of 958 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 958, create a list containing the numbers that are exactly divisible by 958 with zero remainders. One important thing to note is that 1 and 958 are the 958’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 958 are determined as follows:
\[\dfrac{958}{1} = 958\]
\[\dfrac{958}{2} = 479\]
\[\dfrac{958}{479} = 2\]
\[\dfrac{958}{958} = 1\]
Therefore, 1, 2, 479, and 958 are the factors of 958.
Total Number of Factors of 958
For 958, there are four positive factors and four negative ones. So in total, there are eight factors of 958.
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 958 is given as:
Factorization of 958 is 2 x 479.
The exponent of 2 and 479 is 1,1.
Adding 1 to each and multiplying them together results in four.
Therefore, the total number of factors of 958 is eight.Four are positive, and four 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 958 by Prime Factorization
The number 958 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 958 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 958, 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 958 can be expressed as:
958 = 2 x 479
Factors of 958 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 958, the factor pairs can be found as:
1 x 958 = 958
2 x 479 = 958
The possible factor pairs of 958 are given as (1, 958) and (2, 479 ).
All these numbers in pairs, when multiplied, give 958 as the product.
The negative factor pairs of 958 are given as:
-1 x -958 = 958
-2 x -479 = 958
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, -479, and -958 are called negative factors of 958.
The list of all the factors of 958, including positive as well as negative numbers, is given below.
Factor list of 958: 1, -1, 2, -2, 479, -479, 958, and -958
Factors of 958 Solved Examples
To better understand the concept of factors, let’s solve some examples.
Example 1
How many factors of 958 are there?
Solution
The total number of Factors of 958 is four.
Factors of 958 are 1, 2, 479, and 958.
Example 2
Find the factors of 958 using prime factorization.
Solution
The prime factorization of 958 is given as:
958 $\div$ 479 = 2
2 $\div$ 2 = 1
So the prime factorization of 958 can be written as:
2 x 479 = 958