Factors of 1320

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Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, and 1320

How to find factors of a number

1. Steps to find factors of 1320 using Division Method

Find all the numbers which can divide 1320 without leaving any remainder, starting from number 1 upto 660 (half of 1320). The number 1 and the number (1320) itself are always factors of the given number (1320).
Note down all such number. All of those numbers are factors of 1320.

Example: Find factors of 1320

Divide 1320 by 1: 1320 ÷ 1 : Remainder = 0
Divide 1320 by 2: 1320 ÷ 2 : Remainder = 0
Divide 1320 by 3: 1320 ÷ 3 : Remainder = 0
Divide 1320 by 4: 1320 ÷ 4 : Remainder = 0
Divide 1320 by 5: 1320 ÷ 5 : Remainder = 0
Divide 1320 by 6: 1320 ÷ 6 : Remainder = 0
Divide 1320 by 8: 1320 ÷ 8 : Remainder = 0
Divide 1320 by 10: 1320 ÷ 10 : Remainder = 0
Divide 1320 by 11: 1320 ÷ 11 : Remainder = 0
Divide 1320 by 12: 1320 ÷ 12 : Remainder = 0
Divide 1320 by 15: 1320 ÷ 15 : Remainder = 0
Divide 1320 by 20: 1320 ÷ 20 : Remainder = 0
Divide 1320 by 22: 1320 ÷ 22 : Remainder = 0
Divide 1320 by 24: 1320 ÷ 24 : Remainder = 0
Divide 1320 by 30: 1320 ÷ 30 : Remainder = 0
Divide 1320 by 33: 1320 ÷ 33 : Remainder = 0
Divide 1320 by 40: 1320 ÷ 40 : Remainder = 0
Divide 1320 by 44: 1320 ÷ 44 : Remainder = 0
Divide 1320 by 55: 1320 ÷ 55 : Remainder = 0
Divide 1320 by 60: 1320 ÷ 60 : Remainder = 0
Divide 1320 by 66: 1320 ÷ 66 : Remainder = 0
Divide 1320 by 88: 1320 ÷ 88 : Remainder = 0
Divide 1320 by 110: 1320 ÷ 110 : Remainder = 0
Divide 1320 by 120: 1320 ÷ 120 : Remainder = 0
Divide 1320 by 132: 1320 ÷ 132 : Remainder = 0
Divide 1320 by 165: 1320 ÷ 165 : Remainder = 0
Divide 1320 by 220: 1320 ÷ 220 : Remainder = 0
Divide 1320 by 264: 1320 ÷ 264 : Remainder = 0
Divide 1320 by 330: 1320 ÷ 330 : Remainder = 0
Divide 1320 by 440: 1320 ÷ 440 : Remainder = 0
Divide 1320 by 660: 1320 ÷ 660 : Remainder = 0
Divide 1320 by 1320: 1320 ÷ 1320 : Remainder = 0

Hence, Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, and 1320

2. Steps to find factors of 1320 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 1320 using the division method, follow these steps:

Step 1. Start dividing 1320 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 1320, which is 2. Divide 1320 by 2 to obtain the quotient (660).
1320 ÷ 2 = 660
Step 3. Repeat step 1 with the obtained quotient (660).
660 ÷ 2 = 330

330 ÷ 2 = 165

165 ÷ 3 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

So, the prime factorization of 1320 is, 1320 = 2 x 2 x 2 x 3 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1320 as shown below:

So, the prime factorization of 1320 is, 1320 = 2 x 2 x 2 x 3 x 5 x 11.

3. Find factors of 1320 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 1320 would be the two numbers which, when multiplied, give 1320 as the result.

The following table represents the calculation of factors of 1320 in pairs:

Factor Pair	Pair Factorization
1 and 1320	1 x 1320 = 1320
2 and 660	2 x 660 = 1320
3 and 440	3 x 440 = 1320
4 and 330	4 x 330 = 1320
5 and 264	5 x 264 = 1320
6 and 220	6 x 220 = 1320
8 and 165	8 x 165 = 1320
10 and 132	10 x 132 = 1320
11 and 120	11 x 120 = 1320
12 and 110	12 x 110 = 1320
15 and 88	15 x 88 = 1320
20 and 66	20 x 66 = 1320
22 and 60	22 x 60 = 1320
24 and 55	24 x 55 = 1320
30 and 44	30 x 44 = 1320
33 and 40	33 x 40 = 1320

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 1320. They are called negative pair factors.

Hence, the negative pairs of 1320 would be ( -1 , -1320 ) , ( -2 , -660 ) , ( -3 , -440 ) , ( -4 , -330 ) , ( -5 , -264 ) , ( -6 , -220 ) , ( -8 , -165 ) , ( -10 , -132 ) , ( -11 , -120 ) , ( -12 , -110 ) , ( -15 , -88 ) , ( -20 , -66 ) , ( -22 , -60 ) , ( -24 , -55 ) , ( -30 , -44 ) and ( -33 , -40 ) .

What are factors?

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

Properties of factors

Each number is a factor of itself. Eg. 1320 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1320.
Every number is a factor of zero (0), since 1320 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, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320 are exact divisors of 1320.
Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320. Each factor divides 1320 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320 are all less than or equal to 1320.

Frequently Asked Questions

How do you find factors of a negative number? ( eg. -1320 )?
Factors of -1320 are -1, -2, -3, -4, -5, -6, -8, -10, -11, -12, -15, -20, -22, -24, -30, -33, -40, -44, -55, -60, -66, -88, -110, -120, -132, -165, -220, -264, -330, -440, -660, -1320.
What is the sum of all factors of 1320?
The sum of all factors of 1320 is 4320.
What is prime factorization of 1320?
Prime factorization of 1320 is 2 x 2 x 2 x 3 x 5 x 11.
What are the pair factors of 1320?
Pair factors of 1320 are (1,1320), (2,660), (3,440), (4,330), (5,264), (6,220), (8,165), (10,132), (11,120), (12,110), (15,88), (20,66), (22,60), (24,55), (30,44), (33,40).
What are six multiples of 1320?
First five multiples of 1320 are 2640, 3960, 5280, 6600, 7920, 9240.
Is 1320 a whole number?
Yes 1320 is a whole number.
Which is the smallest prime factor of 1320?
Smallest prime factor of 1320 is 2.
What are five multiples of 1320?
First five multiples of 1320 are 2640, 3960, 5280, 6600, 7920.
Write all factors of 1320?
Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320.

Examples of Factors

Joey wants to write all the prime factors of 1320 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1320 are 2, 2, 2, 3, 5, 11.
So in exponential form it can be written as 2³ x 3 x 5 x 11.

How many factors are there for 1320?

Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320.
So there are in total 32 factors.

Kevin has been asked to write 31 factor(s) of 1320. Can you predict the answer?

31 factor(s) of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660.

Sammy is puzzled while calculating the prime factors of 1320. Can you help him find them?

Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320.
Prime factors of 1320 are 2, 2, 2, 3, 5, 11

What is prime factorization of 1320?

Prime factorization of 1320 is 2 x 2 x 2 x 3 x 5 x 11 = 2³ x 3 x 5 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 1320. Can you help her?

Prime factors of 1320 are 2, 2, 2, 3, 5, 11.
Hence, the product of prime factors of 330.

Can you help Rubel to find out the product of the even factors of 1320?

Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320.
Even factors of 1320 are 2, 4, 6, 8, 10, 12, 20, 22, 24, 30, 40, 44, 60, 66, 88, 110, 120, 132, 220, 264, 330, 440, 660, 1320.
Hence, product of even factors of 1320 is; 2 x 4 x 6 x 8 x 10 x 12 x 20 x 22 x 24 x 30 x 40 x 44 x 60 x 66 x 88 x 110 x 120 x 132 x 220 x 264 x 330 x 440 x 660 x 1320 = 1.1461649472102997e+41.