Factors of 3960 in pair

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Factors of 3960 in pair are (1, 3960) , (2, 1980) , (3, 1320) , (4, 990) , (5, 792) , (6, 660) , (8, 495) , (9, 440) , (10, 396) , (11, 360) , (12, 330) , (15, 264) , (18, 220) , (20, 198) , (22, 180) , (24, 165) , (30, 132) , (33, 120) , (36, 110) , (40, 99) , (44, 90) , (45, 88) , (55, 72) and (60, 66)

How to find factors of a number in pair

Steps to find factors of 3960 in pair

Find all the numbers that would divide 3960 without leaving any remainder. Starting with the number 1 upto 1980 (half of 3960). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 3960, and read off the answer!

Example: Find factors of 3960 in pair

Factor Pair	Pair Factorization
1 and 3960	1 x 3960 = 3960
2 and 1980	2 x 1980 = 3960
3 and 1320	3 x 1320 = 3960
4 and 990	4 x 990 = 3960
5 and 792	5 x 792 = 3960
6 and 660	6 x 660 = 3960
8 and 495	8 x 495 = 3960
9 and 440	9 x 440 = 3960
10 and 396	10 x 396 = 3960
11 and 360	11 x 360 = 3960
12 and 330	12 x 330 = 3960
15 and 264	15 x 264 = 3960
18 and 220	18 x 220 = 3960
20 and 198	20 x 198 = 3960
22 and 180	22 x 180 = 3960
24 and 165	24 x 165 = 3960
30 and 132	30 x 132 = 3960
33 and 120	33 x 120 = 3960
36 and 110	36 x 110 = 3960
40 and 99	40 x 99 = 3960
44 and 90	44 x 90 = 3960
45 and 88	45 x 88 = 3960
55 and 72	55 x 72 = 3960
60 and 66	60 x 66 = 3960

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 3960. They are called negative pair factors.

Hence, the negative pairs of 3960 would be ( -1 , -3960 ) .

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 3960 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 18 , 20 , 22 , 24 , 30 , 33 , 36 , 40 , 44 , 45 , 55 , 60 , 66 , 72 , 88 , 90 , 99 , 110 , 120 , 132 , 165 , 180 , 198 , 220 , 264 , 330 , 360 , 396 , 440 , 495 , 660 , 792 , 990 , 1320 , 1980 , 3960. So, factors of 3960 in pair are (1,3960), (2,1980), (3,1320), (4,990), (5,792), (6,660), (8,495), (9,440), (10,396), (11,360), (12,330), (15,264), (18,220), (20,198), (22,180), (24,165), (30,132), (33,120), (36,110), (40,99), (44,90), (45,88), (55,72), (60,66).

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. 3960 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 3960.
Every number is a factor of zero (0), since 3960 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, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960 are exact divisors of 3960.
Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. Each factor divides 3960 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, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960 are all less than or equal to 3960.

Steps to find Factors of 3960

Step 1. Find all the numbers that would divide 3960 without leaving any remainder. Starting with the number 1 upto 1980 (half of 3960). The number 1 and the number itself are always factors of the given number.

3960 ÷ 1 : Remainder = 0

3960 ÷ 2 : Remainder = 0

3960 ÷ 3 : Remainder = 0

3960 ÷ 4 : Remainder = 0

3960 ÷ 5 : Remainder = 0

3960 ÷ 6 : Remainder = 0

3960 ÷ 8 : Remainder = 0

3960 ÷ 9 : Remainder = 0

3960 ÷ 10 : Remainder = 0

3960 ÷ 11 : Remainder = 0

3960 ÷ 12 : Remainder = 0

3960 ÷ 15 : Remainder = 0

3960 ÷ 18 : Remainder = 0

3960 ÷ 20 : Remainder = 0

3960 ÷ 22 : Remainder = 0

3960 ÷ 24 : Remainder = 0

3960 ÷ 30 : Remainder = 0

3960 ÷ 33 : Remainder = 0

3960 ÷ 36 : Remainder = 0

3960 ÷ 40 : Remainder = 0

3960 ÷ 44 : Remainder = 0

3960 ÷ 45 : Remainder = 0

3960 ÷ 55 : Remainder = 0

3960 ÷ 60 : Remainder = 0

3960 ÷ 66 : Remainder = 0

3960 ÷ 72 : Remainder = 0

3960 ÷ 88 : Remainder = 0

3960 ÷ 90 : Remainder = 0

3960 ÷ 99 : Remainder = 0

3960 ÷ 110 : Remainder = 0

3960 ÷ 120 : Remainder = 0

3960 ÷ 132 : Remainder = 0

3960 ÷ 165 : Remainder = 0

3960 ÷ 180 : Remainder = 0

3960 ÷ 198 : Remainder = 0

3960 ÷ 220 : Remainder = 0

3960 ÷ 264 : Remainder = 0

3960 ÷ 330 : Remainder = 0

3960 ÷ 360 : Remainder = 0

3960 ÷ 396 : Remainder = 0

3960 ÷ 440 : Remainder = 0

3960 ÷ 495 : Remainder = 0

3960 ÷ 660 : Remainder = 0

3960 ÷ 792 : Remainder = 0

3960 ÷ 990 : Remainder = 0

3960 ÷ 1320 : Remainder = 0

3960 ÷ 1980 : Remainder = 0

3960 ÷ 3960 : Remainder = 0

Hence, Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, and 3960

Frequently Asked Questions

Is 3960 a composite number?
Yes 3960 is a composite number.
Is 3960 a prime number?
No 3960 is not a prime number.
What is the mean of factors of 3960?
Factors of 3960 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 18 , 20 , 22 , 24 , 30 , 33 , 36 , 40 , 44 , 45 , 55 , 60 , 66 , 72 , 88 , 90 , 99 , 110 , 120 , 132 , 165 , 180 , 198 , 220 , 264 , 330 , 360 , 396 , 440 , 495 , 660 , 792 , 990 , 1320 , 1980 , 3960. therefore mean of factors of 3960 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 24 + 30 + 33 + 36 + 40 + 44 + 45 + 55 + 60 + 66 + 72 + 88 + 90 + 99 + 110 + 120 + 132 + 165 + 180 + 198 + 220 + 264 + 330 + 360 + 396 + 440 + 495 + 660 + 792 + 990 + 1320 + 1980 + 3960) / 48 = 292.50.
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 3960 but she is finding it difficult. Can you help her find out?

Sammy wants to write all the negative factors of 3960 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 3960 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -15, -18, -20, -22, -24, -30, -33, -36, -40, -44, -45, -55, -60, -66, -72, -88, -90, -99, -110, -120, -132, -165, -180, -198, -220, -264, -330, -360, -396, -440, -495, -660, -792, -990, -1320, -1980, -3960. Hence, factors of 3960 in pair are (-1,-3960), (-2,-1980), (-3,-1320), (-4,-990), (-5,-792), (-6,-660), (-8,-495), (-9,-440), (-10,-396), (-11,-360), (-12,-330), (-15,-264), (-18,-220), (-20,-198), (-22,-180), (-24,-165), (-30,-132), (-33,-120), (-36,-110), (-40,-99), (-44,-90), (-45,-88), (-55,-72), (-60,-66).

Help Deep in writing the positive factors of 3960 in pair and negative factor of 3960 in pair.

Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. Positive factors of 3960 in pair are (1,3960), (2,1980), (3,1320), (4,990), (5,792), (6,660), (8,495), (9,440), (10,396), (11,360), (12,330), (15,264), (18,220), (20,198), (22,180), (24,165), (30,132), (33,120), (36,110), (40,99), (44,90), (45,88), (55,72), (60,66). Negative factors of 3960 in pair are (-1,-3960), (-2,-1980), (-3,-1320), (-4,-990), (-5,-792), (-6,-660), (-8,-495), (-9,-440), (-10,-396), (-11,-360), (-12,-330), (-15,-264), (-18,-220), (-20,-198), (-22,-180), (-24,-165), (-30,-132), (-33,-120), (-36,-110), (-40,-99), (-44,-90), (-45,-88), (-55,-72), (-60,-66).

Find the product of all factors of 3960.

Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. So the product of all factors of 3960 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 11 x 12 x 15 x 18 x 20 x 22 x 24 x 30 x 33 x 36 x 40 x 44 x 45 x 55 x 60 x 66 x 72 x 88 x 90 x 99 x 110 x 120 x 132 x 165 x 180 x 198 x 220 x 264 x 330 x 360 x 396 x 440 x 495 x 660 x 792 x 990 x 1320 x 1980 x 3960 = 2.2114873638578346e+86.

Find the product of all prime factors of 3960.

Can you help Sammy list the factors of 3960 and also find the factor pairs?

Sammy has 3960 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 3960 blocks in all possible ways to form a rectangle, we need to calculate factors of 3960 in pair. Therefore, factors of 3960 in pair are (1,3960), (2,1980), (3,1320), (4,990), (5,792), (6,660), (8,495), (9,440), (10,396), (11,360), (12,330), (15,264), (18,220), (20,198), (22,180), (24,165), (30,132), (33,120), (36,110), (40,99), (44,90), (45,88), (55,72), (60,66)