# Factors of 1056

Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, and 1056

#### How to find factors of a number

 1.   Find factors of 1056 using Division Method 2.   Find factors of 1056 using Prime Factorization 3.   Find factors of 1056 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1056

• Divide 1056 by 1: 1056 ÷ 1 : Remainder = 0
• Divide 1056 by 2: 1056 ÷ 2 : Remainder = 0
• Divide 1056 by 3: 1056 ÷ 3 : Remainder = 0
• Divide 1056 by 4: 1056 ÷ 4 : Remainder = 0
• Divide 1056 by 6: 1056 ÷ 6 : Remainder = 0
• Divide 1056 by 8: 1056 ÷ 8 : Remainder = 0
• Divide 1056 by 11: 1056 ÷ 11 : Remainder = 0
• Divide 1056 by 12: 1056 ÷ 12 : Remainder = 0
• Divide 1056 by 16: 1056 ÷ 16 : Remainder = 0
• Divide 1056 by 22: 1056 ÷ 22 : Remainder = 0
• Divide 1056 by 24: 1056 ÷ 24 : Remainder = 0
• Divide 1056 by 32: 1056 ÷ 32 : Remainder = 0
• Divide 1056 by 33: 1056 ÷ 33 : Remainder = 0
• Divide 1056 by 44: 1056 ÷ 44 : Remainder = 0
• Divide 1056 by 48: 1056 ÷ 48 : Remainder = 0
• Divide 1056 by 66: 1056 ÷ 66 : Remainder = 0
• Divide 1056 by 88: 1056 ÷ 88 : Remainder = 0
• Divide 1056 by 96: 1056 ÷ 96 : Remainder = 0
• Divide 1056 by 132: 1056 ÷ 132 : Remainder = 0
• Divide 1056 by 176: 1056 ÷ 176 : Remainder = 0
• Divide 1056 by 264: 1056 ÷ 264 : Remainder = 0
• Divide 1056 by 352: 1056 ÷ 352 : Remainder = 0
• Divide 1056 by 528: 1056 ÷ 528 : Remainder = 0
• Divide 1056 by 1056: 1056 ÷ 1056 : Remainder = 0

Hence, Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, and 1056

#### 2. Steps to find factors of 1056 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 1056 using the division method, follow these steps:

• Step 1. Start dividing 1056 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 1056, which is 2. Divide 1056 by 2 to obtain the quotient (528).
1056 ÷ 2 = 528
• Step 3. Repeat step 1 with the obtained quotient (528).
528 ÷ 2 = 264
264 ÷ 2 = 132
132 ÷ 2 = 66
66 ÷ 2 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1

So, the prime factorization of 1056 is, 1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1056 as shown below:

So, the prime factorization of 1056 is, 1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11.

#### 3. Find factors of 1056 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 1056 would be the two numbers which, when multiplied, give 1056 as the result.

The following table represents the calculation of factors of 1056 in pairs:

Factor Pair Pair Factorization
1 and 1056 1 x 1056 = 1056
2 and 528 2 x 528 = 1056
3 and 352 3 x 352 = 1056
4 and 264 4 x 264 = 1056
6 and 176 6 x 176 = 1056
8 and 132 8 x 132 = 1056
11 and 96 11 x 96 = 1056
12 and 88 12 x 88 = 1056
16 and 66 16 x 66 = 1056
22 and 48 22 x 48 = 1056
24 and 44 24 x 44 = 1056
32 and 33 32 x 33 = 1056

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 1056. They are called negative pair factors.

Hence, the negative pairs of 1056 would be ( -1 , -1056 ) , ( -2 , -528 ) , ( -3 , -352 ) , ( -4 , -264 ) , ( -6 , -176 ) , ( -8 , -132 ) , ( -11 , -96 ) , ( -12 , -88 ) , ( -16 , -66 ) , ( -22 , -48 ) , ( -24 , -44 ) and ( -32 , -33 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1056 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1056.
• Every number is a factor of zero (0), since 1056 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, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056 are exact divisors of 1056.
• Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. Each factor divides 1056 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056 are all less than or equal to 1056.

• What are the prime factors of 1056?

The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056.
Prime factors of 1056 are 2, 2, 2, 2, 2, 3, 11.

• What two numbers make 1056?

Two numbers that make 1056 are 2 and 528.

• What is the greatest prime factors of 1056?

The greatest prime factor of 1056 is 11.

• What are factors of 1056?

Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056.

• How do you find factors of a negative number? ( eg. -1056 )?

Factors of -1056 are -1, -2, -3, -4, -6, -8, -11, -12, -16, -22, -24, -32, -33, -44, -48, -66, -88, -96, -132, -176, -264, -352, -528, -1056.

• What are five multiples of 1056?

First five multiples of 1056 are 2112, 3168, 4224, 5280, 6336.

• Write some multiples of 1056?

First five multiples of 1056 are 2112, 3168, 4224, 5280.

• Is 1056 a perfect square?

No 1056 is not a perfect square.

• What two numbers make 1056?

Two numbers that make 1056 are 2 and 528.

#### Examples of Factors

What is prime factorization of 1056?

Prime factorization of 1056 is 2 x 2 x 2 x 2 x 2 x 3 x 11 = 25 x 3 x 11.

Sammy is puzzled while calculating the prime factors of 1056. Can you help him find them?

Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056.
Prime factors of 1056 are 2, 2, 2, 2, 2, 3, 11

Kevin has been asked to write 23 factor(s) of 1056. Can you predict the answer?

23 factor(s) of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528.

Joey wants to write all the prime factors of 1056 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1056 are 2, 2, 2, 2, 2, 3, 11.
So in exponential form it can be written as 25 x 3 x 11.

How many factors are there for 1056?

Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056.
So there are in total 24 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1056? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056.
Negative factors are -1, -2, -3, -4, -6, -8, -11, -12, -16, -22, -24, -32, -33, -44, -48, -66, -88, -96, -132, -176, -264, -352, -528, -1056.

Can you help Rubel to find out the product of the even factors of 1056?

Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056.
Even factors of 1056 are 2, 4, 6, 8, 12, 16, 22, 24, 32, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056.
Hence, product of even factors of 1056 is; 2 x 4 x 6 x 8 x 12 x 16 x 22 x 24 x 32 x 44 x 48 x 66 x 88 x 96 x 132 x 176 x 264 x 352 x 528 x 1056 = 1.7657903481153165e+33.