# Factors of 924

Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, and 924

#### How to find factors of a number

 1.   Find factors of 924 using Division Method 2.   Find factors of 924 using Prime Factorization 3.   Find factors of 924 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 924

• Divide 924 by 1: 924 ÷ 1 : Remainder = 0
• Divide 924 by 2: 924 ÷ 2 : Remainder = 0
• Divide 924 by 3: 924 ÷ 3 : Remainder = 0
• Divide 924 by 4: 924 ÷ 4 : Remainder = 0
• Divide 924 by 6: 924 ÷ 6 : Remainder = 0
• Divide 924 by 7: 924 ÷ 7 : Remainder = 0
• Divide 924 by 11: 924 ÷ 11 : Remainder = 0
• Divide 924 by 12: 924 ÷ 12 : Remainder = 0
• Divide 924 by 14: 924 ÷ 14 : Remainder = 0
• Divide 924 by 21: 924 ÷ 21 : Remainder = 0
• Divide 924 by 22: 924 ÷ 22 : Remainder = 0
• Divide 924 by 28: 924 ÷ 28 : Remainder = 0
• Divide 924 by 33: 924 ÷ 33 : Remainder = 0
• Divide 924 by 42: 924 ÷ 42 : Remainder = 0
• Divide 924 by 44: 924 ÷ 44 : Remainder = 0
• Divide 924 by 66: 924 ÷ 66 : Remainder = 0
• Divide 924 by 77: 924 ÷ 77 : Remainder = 0
• Divide 924 by 84: 924 ÷ 84 : Remainder = 0
• Divide 924 by 132: 924 ÷ 132 : Remainder = 0
• Divide 924 by 154: 924 ÷ 154 : Remainder = 0
• Divide 924 by 231: 924 ÷ 231 : Remainder = 0
• Divide 924 by 308: 924 ÷ 308 : Remainder = 0
• Divide 924 by 462: 924 ÷ 462 : Remainder = 0
• Divide 924 by 924: 924 ÷ 924 : Remainder = 0

Hence, Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, and 924

#### 2. Steps to find factors of 924 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 924 using the division method, follow these steps:

• Step 1. Start dividing 924 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 924, which is 2. Divide 924 by 2 to obtain the quotient (462).
924 ÷ 2 = 462
• Step 3. Repeat step 1 with the obtained quotient (462).
462 ÷ 2 = 231
231 ÷ 3 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 924 is, 924 = 2 x 2 x 3 x 7 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 924 as shown below:

So, the prime factorization of 924 is, 924 = 2 x 2 x 3 x 7 x 11.

#### 3. Find factors of 924 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 924 would be the two numbers which, when multiplied, give 924 as the result.

The following table represents the calculation of factors of 924 in pairs:

Factor Pair Pair Factorization
1 and 924 1 x 924 = 924
2 and 462 2 x 462 = 924
3 and 308 3 x 308 = 924
4 and 231 4 x 231 = 924
6 and 154 6 x 154 = 924
7 and 132 7 x 132 = 924
11 and 84 11 x 84 = 924
12 and 77 12 x 77 = 924
14 and 66 14 x 66 = 924
21 and 44 21 x 44 = 924
22 and 42 22 x 42 = 924
28 and 33 28 x 33 = 924

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 924. They are called negative pair factors.

Hence, the negative pairs of 924 would be ( -1 , -924 ) , ( -2 , -462 ) , ( -3 , -308 ) , ( -4 , -231 ) , ( -6 , -154 ) , ( -7 , -132 ) , ( -11 , -84 ) , ( -12 , -77 ) , ( -14 , -66 ) , ( -21 , -44 ) , ( -22 , -42 ) and ( -28 , -33 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 924 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 924.
• Every number is a factor of zero (0), since 924 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924 are exact divisors of 924.
• Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. Each factor divides 924 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924 are all less than or equal to 924.

• How do you find factors of a negative number? ( eg. -924 )?

Factors of -924 are -1, -2, -3, -4, -6, -7, -11, -12, -14, -21, -22, -28, -33, -42, -44, -66, -77, -84, -132, -154, -231, -308, -462, -924.

• What is the sum of all factors of 924?

The sum of all factors of 924 is 2688.

• What is prime factorization of 924?

Prime factorization of 924 is 2 x 2 x 3 x 7 x 11.

• What are the pair factors of 924?

Pair factors of 924 are (1,924), (2,462), (3,308), (4,231), (6,154), (7,132), (11,84), (12,77), (14,66), (21,44), (22,42), (28,33).

• What are six multiples of 924?

First five multiples of 924 are 1848, 2772, 3696, 4620, 5544, 6468.

• Is 924 a whole number?

Yes 924 is a whole number.

• Which is the smallest prime factor of 924?

Smallest prime factor of 924 is 2.

• What are five multiples of 924?

First five multiples of 924 are 1848, 2772, 3696, 4620, 5544.

• Write all factors of 924?

Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924.

#### Examples of Factors

Joey wants to write all the prime factors of 924 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 924 are 2, 2, 3, 7, 11.
So in exponential form it can be written as 22 x 3 x 7 x 11.

How many factors are there for 924?

Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924.
So there are in total 24 factors.

Kevin has been asked to write 23 factor(s) of 924. Can you predict the answer?

23 factor(s) of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462.

Sammy is puzzled while calculating the prime factors of 924. Can you help him find them?

Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924.
Prime factors of 924 are 2, 2, 3, 7, 11

What is prime factorization of 924?

Prime factorization of 924 is 2 x 2 x 3 x 7 x 11 = 22 x 3 x 7 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 924. Can you help her?

Prime factors of 924 are 2, 2, 3, 7, 11.
Hence, the product of prime factors of 462.

Can you help Rubel to find out the product of the even factors of 924?

Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924.
Even factors of 924 are 2, 4, 6, 12, 14, 22, 28, 42, 44, 66, 84, 132, 154, 308, 462, 924.
Hence, product of even factors of 924 is; 2 x 4 x 6 x 12 x 14 x 22 x 28 x 42 x 44 x 66 x 84 x 132 x 154 x 308 x 462 x 924 = 1.3602406053079612e+26.