Factors of 929: Prime Factorization, Methods, and Examples

The prime factor of the numbers 929 is 1 and 929 and these two are the only positive factors of 929 which means it becomes not a composite number because it has no more than two positive factors so it is a prime number.

Factors Of 929

Factors of 929

Here are the factors of number 929.

Factors of 929: 1 and 929

Negative Factors of 929

The negative factors of 929 are similar to its positive aspects, just with a negative sign.

Negative Factors of 929: -1 and -929

Prime Factorization of 929

The prime factorization of 929 is the way of expressing its prime factors in the product form.

Prime Factorization: 1 x 929

In this article, we will learn about the factors of 929 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 929?

The factors of 929 are 1 and 929. These numbers are the factors as they do not leave any remainder when divided by 929.

The factors of 929 are classified as prime numbers and composite numbers. The prime factors of the number 929 can be determined using the prime factorization technique.

How To Find the Factors of 929?

You can find the factors of 929 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 929, create a list containing the numbers that are exactly divisible by 929 with zero remainders. One important thing to note is that 1 and 929 are the 929’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 929 are determined as follows:

\[\dfrac{929}{1} = 929\]

\[\dfrac{929}{929} = 1\]

Therefore, 1 and 929 are the factors of 929.

Total Number of Factors of 929

For 929, there are two positive factors and two negative ones. So in total, there are four factors of 929. 

To find the total number of factors of the given number, follow the procedure mentioned below:

  1. Find the factorization/prime factorization of the given number.
  2. Demonstrate the prime factorization of the number in the form of exponent form.
  3. Add 1 to each of the exponents of the prime factor.
  4. 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 929 is given as:

Factorization of 929 is 1 x 929.

The exponent of 1 and 929 is 1.

Adding 1 to each and multiplying them together results in two.

Therefore, the total number of factors of 929 is four. Two are positive, and two 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 929 by Prime FactorizationFactor of 929 by Prime Factorization

The number 929 is a prime number. 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 929 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 929, 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 929 can be expressed as:

929 = 1 x 929

Factors of 929 in PairsFactor of 929 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 929, the factor pairs can be found as:

1 x 929 = 929 

The possible factor pairs of 929 are given as (1, 929). 

All these numbers in pairs, when multiplied, give 929 as the product.

The negative factor pairs of 929 are given as:

-1 x -929 = 929

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 and -929 are called negative factors of 929.

The list of all the factors of 929, including positive as well as negative numbers, is given below.

Factor list of 929: 1, -1, 929 and -929

Factors of 929 Solved Examples

To better understand the concept of factors, let’s solve some examples.

Example 1

How many factors of 929 are there?


The total number of Factors of 929 is two.

Factors of 929 are 1 and 929.

Example 2

Find the factors of 929 using prime factorization.


The prime factorization of 929 is given as:

929 $\div$ 1 = 929

929 $\div$ 929 = 1 

So the prime factorization of 929 can be written as:

1 x 929 = 929

Factors of 928|Factors List| Factors of 930