# Factors of 984

Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, and 984

#### How to find factors of a number

 1.   Find factors of 984 using Division Method 2.   Find factors of 984 using Prime Factorization 3.   Find factors of 984 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 984

• Divide 984 by 1: 984 ÷ 1 : Remainder = 0
• Divide 984 by 2: 984 ÷ 2 : Remainder = 0
• Divide 984 by 3: 984 ÷ 3 : Remainder = 0
• Divide 984 by 4: 984 ÷ 4 : Remainder = 0
• Divide 984 by 6: 984 ÷ 6 : Remainder = 0
• Divide 984 by 8: 984 ÷ 8 : Remainder = 0
• Divide 984 by 12: 984 ÷ 12 : Remainder = 0
• Divide 984 by 24: 984 ÷ 24 : Remainder = 0
• Divide 984 by 41: 984 ÷ 41 : Remainder = 0
• Divide 984 by 82: 984 ÷ 82 : Remainder = 0
• Divide 984 by 123: 984 ÷ 123 : Remainder = 0
• Divide 984 by 164: 984 ÷ 164 : Remainder = 0
• Divide 984 by 246: 984 ÷ 246 : Remainder = 0
• Divide 984 by 328: 984 ÷ 328 : Remainder = 0
• Divide 984 by 492: 984 ÷ 492 : Remainder = 0
• Divide 984 by 984: 984 ÷ 984 : Remainder = 0

Hence, Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, and 984

#### 2. Steps to find factors of 984 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 984 using the division method, follow these steps:

• Step 1. Start dividing 984 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 984, which is 2. Divide 984 by 2 to obtain the quotient (492).
984 ÷ 2 = 492
• Step 3. Repeat step 1 with the obtained quotient (492).
492 ÷ 2 = 246
246 ÷ 2 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1

So, the prime factorization of 984 is, 984 = 2 x 2 x 2 x 3 x 41.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 984 as shown below:

So, the prime factorization of 984 is, 984 = 2 x 2 x 2 x 3 x 41.

#### 3. Find factors of 984 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 984 would be the two numbers which, when multiplied, give 984 as the result.

The following table represents the calculation of factors of 984 in pairs:

Factor Pair Pair Factorization
1 and 984 1 x 984 = 984
2 and 492 2 x 492 = 984
3 and 328 3 x 328 = 984
4 and 246 4 x 246 = 984
6 and 164 6 x 164 = 984
8 and 123 8 x 123 = 984
12 and 82 12 x 82 = 984
24 and 41 24 x 41 = 984

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 984. They are called negative pair factors.

Hence, the negative pairs of 984 would be ( -1 , -984 ) , ( -2 , -492 ) , ( -3 , -328 ) , ( -4 , -246 ) , ( -6 , -164 ) , ( -8 , -123 ) , ( -12 , -82 ) and ( -24 , -41 ) .

#### 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. 984 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 984.
• Every number is a factor of zero (0), since 984 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, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984 are exact divisors of 984.
• Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. Each factor divides 984 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984 are all less than or equal to 984.

• What are the prime factors of 984?

The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984.
Prime factors of 984 are 2, 2, 2, 3, 41.

• What two numbers make 984?

Two numbers that make 984 are 2 and 492.

• What is the greatest prime factors of 984?

The greatest prime factor of 984 is 41.

• What are factors of 984?

Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984.

• How do you find factors of a negative number? ( eg. -984 )?

Factors of -984 are -1, -2, -3, -4, -6, -8, -12, -24, -41, -82, -123, -164, -246, -328, -492, -984.

• What are five multiples of 984?

First five multiples of 984 are 1968, 2952, 3936, 4920, 5904.

• Write some multiples of 984?

First five multiples of 984 are 1968, 2952, 3936, 4920.

• Is 984 a perfect square?

No 984 is not a perfect square.

• What two numbers make 984?

Two numbers that make 984 are 2 and 492.

#### Examples of Factors

What is prime factorization of 984?

Prime factorization of 984 is 2 x 2 x 2 x 3 x 41 = 23 x 3 x 41.

Sammy is puzzled while calculating the prime factors of 984. Can you help him find them?

Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984.
Prime factors of 984 are 2, 2, 2, 3, 41

Kevin has been asked to write 15 factor(s) of 984. Can you predict the answer?

15 factor(s) of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492.

Joey wants to write all the prime factors of 984 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 984 are 2, 2, 2, 3, 41.
So in exponential form it can be written as 23 x 3 x 41.

How many factors are there for 984?

Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984.
So there are in total 16 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 984? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984.
Negative factors are -1, -2, -3, -4, -6, -8, -12, -24, -41, -82, -123, -164, -246, -328, -492, -984.

Can you help Rubel to find out the product of the even factors of 984?

Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984.
Even factors of 984 are 2, 4, 6, 8, 12, 24, 82, 164, 246, 328, 492, 984.
Hence, product of even factors of 984 is; 2 x 4 x 6 x 8 x 12 x 24 x 82 x 164 x 246 x 328 x 492 x 984 = 58096579632980560000.