Factors of 1320 in pair

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Factors of 1320 in pair 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) and (33, 40)

How to find factors of a number in pair

Steps to find factors of 1320 in pair

Find all the numbers that would divide 1320 without leaving any remainder. Starting with the number 1 upto 660 (half of 1320). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1320, and read off the answer!

Example: Find factors of 1320 in pair

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 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- 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, factors of 1320 in pair 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 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.

Steps to find Factors of 1320

Step 1. Find all the numbers that would divide 1320 without leaving any remainder. Starting with the number 1 upto 660 (half of 1320). The number 1 and the number itself are always factors of the given number.

1320 ÷ 1 : Remainder = 0

1320 ÷ 2 : Remainder = 0

1320 ÷ 3 : Remainder = 0

1320 ÷ 4 : Remainder = 0

1320 ÷ 5 : Remainder = 0

1320 ÷ 6 : Remainder = 0

1320 ÷ 8 : Remainder = 0

1320 ÷ 10 : Remainder = 0

1320 ÷ 11 : Remainder = 0

1320 ÷ 12 : Remainder = 0

1320 ÷ 15 : Remainder = 0

1320 ÷ 20 : Remainder = 0

1320 ÷ 22 : Remainder = 0

1320 ÷ 24 : Remainder = 0

1320 ÷ 30 : Remainder = 0

1320 ÷ 33 : Remainder = 0

1320 ÷ 40 : Remainder = 0

1320 ÷ 44 : Remainder = 0

1320 ÷ 55 : Remainder = 0

1320 ÷ 60 : Remainder = 0

1320 ÷ 66 : Remainder = 0

1320 ÷ 88 : Remainder = 0

1320 ÷ 110 : Remainder = 0

1320 ÷ 120 : Remainder = 0

1320 ÷ 132 : Remainder = 0

1320 ÷ 165 : Remainder = 0

1320 ÷ 220 : Remainder = 0

1320 ÷ 264 : Remainder = 0

1320 ÷ 330 : Remainder = 0

1320 ÷ 440 : Remainder = 0

1320 ÷ 660 : Remainder = 0

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

Frequently Asked Questions

Is 1320 a composite number?
Yes 1320 is a composite number.
Is 1320 a prime number?
No 1320 is not a prime number.
What is the mean of 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. therefore mean of factors of 1320 is (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) / 32 = 135.00.
What do you mean by proper divisors?
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
What do you mean by improper divisors?
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 1320 but she is finding it difficult. Can you help her find out?

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, factors of 1320 in pair 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).

Sammy wants to write all the negative factors of 1320 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative 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. Hence, factors of 1320 in pair 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).

Help Deep in writing the positive factors of 1320 in pair and negative factor of 1320 in pair.

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. Positive factors of 1320 in pair 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). Negative factors of 1320 in pair 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).

Find the product of 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. So the product of all factors of 1320 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 11 x 12 x 15 x 20 x 22 x 24 x 30 x 33 x 40 x 44 x 55 x 60 x 66 x 88 x 110 x 120 x 132 x 165 x 220 x 264 x 330 x 440 x 660 x 1320 = 8.495381752253663e+49.

Find the product of all prime 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. Prime factors are 2, 2, 2, 3, 5, 11. So, the product of all prime factors of 1320 would be 2 x 2 x 2 x 3 x 5 x 11 = 1320.

Can you help Sammy list the factors of 1320 and also find the factor pairs?

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.
Factors of 1320 in pair 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).

Sammy has 1320 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 1320 blocks in all possible ways to form a rectangle, we need to calculate factors of 1320 in pair. Therefore, factors of 1320 in pair 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)