Factors of 929

The numbers that divide 929 evenly are known as factors of 929. A factor of 929 is a number that divides the number without remainder. The factors of 929 are 1, 7, 11, 13, 77, 91, 143, and 929.

Negative factors of 929: -1, -7, -11, -13, -77, -91, -143, and -929.

Prime factors of 929: 7, 11, and 13.

Prime factorization of 929: 7 × 11 × 13.

The sum of factors of 929: 1 + 7 + 11 + 13 + 77 + 91 + 143 + 929 = 1272

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 929. Identifying the numbers which are multiplied to get the number 929 is the multiplication method.

Step 1: Multiply 929 by 1, 929 × 1 = 929.

Step 2: Check for other numbers that give 929 after multiplying

7 × 133 = 929

11 × 84.4545 (not a whole number, not a factor)

13 × 71.4615 (not a whole number, not a factor)

Therefore, the positive factor pairs of 929 are: (1, 929) and (7, 133). All these factor pairs result in 929. For every positive factor, there is a negative factor.

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method -

Step 1: Divide 929 by 1, 929 ÷ 1 = 929.

Step 2: Continue dividing 929 by the numbers until the remainder becomes 0.

929 ÷ 1 = 929

929 ÷ 7 = 133

929 ÷ 11 = 84.4545 (not a whole number, not a factor)

929 ÷ 13 = 71.4615 (not a whole number, not a factor)

Therefore, the factors of 929 are: 1, 7, 133, and 929.

The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 929 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

929 ÷ 7 = 133

133 ÷ 11 = 13

13 ÷ 13 = 1

The prime factors of 929 are 7, 11, and 13. The prime factorization of 929 is: 7 × 11 × 13.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 929 is divided by 7 to get 133.

Step 2: Now divide 133 by 11 to get 13.

Step 3: Divide 13 by 13 to get 1. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 929 is: 7 × 11 × 13.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 929: (1, 929) and (7, 133).

• Negative factor pairs of 929: (-1, -929) and (-7, -133).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 929 are 1, 7, 11, 13, 77, 91, 143, and 929.

• Prime factors: The factors which are prime numbers. For example, 7, 11, and 13 are prime factors of 929.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 929 are (1, 929) and (7, 133).

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, 929 = 7 × 11 × 13.

• Negative factors: Factors of a number that are negative. For example, -1, -7, -11, -13, -77, -91, -143, -929 are negative factors of 929.