Factors of 960 in pair

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Factors of 960 in pair are (1, 960) , (2, 480) , (3, 320) , (4, 240) , (5, 192) , (6, 160) , (8, 120) , (10, 96) , (12, 80) , (15, 64) , (16, 60) , (20, 48) , (24, 40) and (30, 32)

How to find factors of a number in pair

Steps to find factors of 960 in pair

Find all the numbers that would divide 960 without leaving any remainder. Starting with the number 1 upto 480 (half of 960). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 960, and read off the answer!

Example: Find factors of 960 in pair

Factor Pair	Pair Factorization
1 and 960	1 x 960 = 960
2 and 480	2 x 480 = 960
3 and 320	3 x 320 = 960
4 and 240	4 x 240 = 960
5 and 192	5 x 192 = 960
6 and 160	6 x 160 = 960
8 and 120	8 x 120 = 960
10 and 96	10 x 96 = 960
12 and 80	12 x 80 = 960
15 and 64	15 x 64 = 960
16 and 60	16 x 60 = 960
20 and 48	20 x 48 = 960
24 and 40	24 x 40 = 960
30 and 32	30 x 32 = 960

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 960. They are called negative pair factors.

Hence, the negative pairs of 960 would be ( -1 , -960 ) .

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 960 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 160 , 192 , 240 , 320 , 480 , 960. So, factors of 960 in pair are (1,960), (2,480), (3,320), (4,240), (5,192), (6,160), (8,120), (10,96), (12,80), (15,64), (16,60), (20,48), (24,40), (30,32).

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. 960 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 960.
Every number is a factor of zero (0), since 960 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, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960 are exact divisors of 960.
Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. Each factor divides 960 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, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960 are all less than or equal to 960.

Steps to find Factors of 960

Step 1. Find all the numbers that would divide 960 without leaving any remainder. Starting with the number 1 upto 480 (half of 960). The number 1 and the number itself are always factors of the given number.

960 ÷ 1 : Remainder = 0

960 ÷ 2 : Remainder = 0

960 ÷ 3 : Remainder = 0

960 ÷ 4 : Remainder = 0

960 ÷ 5 : Remainder = 0

960 ÷ 6 : Remainder = 0

960 ÷ 8 : Remainder = 0

960 ÷ 10 : Remainder = 0

960 ÷ 12 : Remainder = 0

960 ÷ 15 : Remainder = 0

960 ÷ 16 : Remainder = 0

960 ÷ 20 : Remainder = 0

960 ÷ 24 : Remainder = 0

960 ÷ 30 : Remainder = 0

960 ÷ 32 : Remainder = 0

960 ÷ 40 : Remainder = 0

960 ÷ 48 : Remainder = 0

960 ÷ 60 : Remainder = 0

960 ÷ 64 : Remainder = 0

960 ÷ 80 : Remainder = 0

960 ÷ 96 : Remainder = 0

960 ÷ 120 : Remainder = 0

960 ÷ 160 : Remainder = 0

960 ÷ 192 : Remainder = 0

960 ÷ 240 : Remainder = 0

960 ÷ 320 : Remainder = 0

960 ÷ 480 : Remainder = 0

960 ÷ 960 : Remainder = 0

Hence, Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, and 960

Frequently Asked Questions

Is 960 a composite number?
Yes 960 is a composite number.
Is 960 a prime number?
No 960 is not a prime number.
What is the mean of factors of 960?
Factors of 960 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 160 , 192 , 240 , 320 , 480 , 960. therefore mean of factors of 960 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 64 + 80 + 96 + 120 + 160 + 192 + 240 + 320 + 480 + 960) / 28 = 108.86.
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 960 but she is finding it difficult. Can you help her find out?

Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. So, factors of 960 in pair are (1,960), (2,480), (3,320), (4,240), (5,192), (6,160), (8,120), (10,96), (12,80), (15,64), (16,60), (20,48), (24,40), (30,32).

Sammy wants to write all the negative factors of 960 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 960 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -64, -80, -96, -120, -160, -192, -240, -320, -480, -960. Hence, factors of 960 in pair are (-1,-960), (-2,-480), (-3,-320), (-4,-240), (-5,-192), (-6,-160), (-8,-120), (-10,-96), (-12,-80), (-15,-64), (-16,-60), (-20,-48), (-24,-40), (-30,-32).

Help Deep in writing the positive factors of 960 in pair and negative factor of 960 in pair.

Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. Positive factors of 960 in pair are (1,960), (2,480), (3,320), (4,240), (5,192), (6,160), (8,120), (10,96), (12,80), (15,64), (16,60), (20,48), (24,40), (30,32). Negative factors of 960 in pair are (-1,-960), (-2,-480), (-3,-320), (-4,-240), (-5,-192), (-6,-160), (-8,-120), (-10,-96), (-12,-80), (-15,-64), (-16,-60), (-20,-48), (-24,-40), (-30,-32).

Find the product of all factors of 960.

Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. So the product of all factors of 960 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 60 x 64 x 80 x 96 x 120 x 160 x 192 x 240 x 320 x 480 x 960 = 5.646733123551136e+41.

Find the product of all prime factors of 960.

Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. Prime factors are 2, 2, 2, 2, 2, 2, 3, 5. So, the product of all prime factors of 960 would be 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 = 960.

Can you help Sammy list the factors of 960 and also find the factor pairs?

Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960.
Factors of 960 in pair are (1,960), (2,480), (3,320), (4,240), (5,192), (6,160), (8,120), (10,96), (12,80), (15,64), (16,60), (20,48), (24,40), (30,32).

Sammy has 960 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 960 blocks in all possible ways to form a rectangle, we need to calculate factors of 960 in pair. Therefore, factors of 960 in pair are (1,960), (2,480), (3,320), (4,240), (5,192), (6,160), (8,120), (10,96), (12,80), (15,64), (16,60), (20,48), (24,40), (30,32)