Factors of 480 in pair

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

How to find factors of a number in pair

Steps to find factors of 480 in pair

Find all the numbers that would divide 480 without leaving any remainder. Starting with the number 1 upto 240 (half of 480). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 480, and read off the answer!

Example: Find factors of 480 in pair

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

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 480. They are called negative pair factors.

Hence, the negative pairs of 480 would be ( -1 , -480 ) .

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

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

Steps to find Factors of 480

Step 1. Find all the numbers that would divide 480 without leaving any remainder. Starting with the number 1 upto 240 (half of 480). The number 1 and the number itself are always factors of the given number.

480 ÷ 1 : Remainder = 0

480 ÷ 2 : Remainder = 0

480 ÷ 3 : Remainder = 0

480 ÷ 4 : Remainder = 0

480 ÷ 5 : Remainder = 0

480 ÷ 6 : Remainder = 0

480 ÷ 8 : Remainder = 0

480 ÷ 10 : Remainder = 0

480 ÷ 12 : Remainder = 0

480 ÷ 15 : Remainder = 0

480 ÷ 16 : Remainder = 0

480 ÷ 20 : Remainder = 0

480 ÷ 24 : Remainder = 0

480 ÷ 30 : Remainder = 0

480 ÷ 32 : Remainder = 0

480 ÷ 40 : Remainder = 0

480 ÷ 48 : Remainder = 0

480 ÷ 60 : Remainder = 0

480 ÷ 80 : Remainder = 0

480 ÷ 96 : Remainder = 0

480 ÷ 120 : Remainder = 0

480 ÷ 160 : Remainder = 0

480 ÷ 240 : Remainder = 0

480 ÷ 480 : Remainder = 0

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

Frequently Asked Questions

Is 480 a composite number?
Yes 480 is a composite number.
Is 480 a prime number?
No 480 is not a prime number.
What is the mean of factors of 480?
Factors of 480 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 80 , 96 , 120 , 160 , 240 , 480. therefore mean of factors of 480 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 80 + 96 + 120 + 160 + 240 + 480) / 24 = 63.00.
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 480 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 480 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 480 in pair and negative factor of 480 in pair.

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

Find the product of all factors of 480.

Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. So the product of all factors of 480 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 80 x 96 x 120 x 160 x 240 x 480 = 1.4958734309808774e+32.

Find the product of all prime factors of 480.

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

Can you help Sammy list the factors of 480 and also find the factor pairs?

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

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