Factors of 360 in pair

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Factors of 360 in pair are (1, 360) , (2, 180) , (3, 120) , (4, 90) , (5, 72) , (6, 60) , (8, 45) , (9, 40) , (10, 36) , (12, 30) , (15, 24) and (18, 20)

How to find factors of a number in pair

Steps to find factors of 360 in pair

Find all the numbers that would divide 360 without leaving any remainder. Starting with the number 1 upto 180 (half of 360). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 360, and read off the answer!

Example: Find factors of 360 in pair

Factor Pair	Pair Factorization
1 and 360	1 x 360 = 360
2 and 180	2 x 180 = 360
3 and 120	3 x 120 = 360
4 and 90	4 x 90 = 360
5 and 72	5 x 72 = 360
6 and 60	6 x 60 = 360
8 and 45	8 x 45 = 360
9 and 40	9 x 40 = 360
10 and 36	10 x 36 = 360
12 and 30	12 x 30 = 360
15 and 24	15 x 24 = 360
18 and 20	18 x 20 = 360

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 360. They are called negative pair factors.

Hence, the negative pairs of 360 would be ( -1 , -360 ) .

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 360 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 30 , 36 , 40 , 45 , 60 , 72 , 90 , 120 , 180 , 360. So, factors of 360 in pair are (1,360), (2,180), (3,120), (4,90), (5,72), (6,60), (8,45), (9,40), (10,36), (12,30), (15,24), (18,20).

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. 360 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 360.
Every number is a factor of zero (0), since 360 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, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360 are exact divisors of 360.
Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. Each factor divides 360 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, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360 are all less than or equal to 360.

Steps to find Factors of 360

Step 1. Find all the numbers that would divide 360 without leaving any remainder. Starting with the number 1 upto 180 (half of 360). The number 1 and the number itself are always factors of the given number.

360 ÷ 1 : Remainder = 0

360 ÷ 2 : Remainder = 0

360 ÷ 3 : Remainder = 0

360 ÷ 4 : Remainder = 0

360 ÷ 5 : Remainder = 0

360 ÷ 6 : Remainder = 0

360 ÷ 8 : Remainder = 0

360 ÷ 9 : Remainder = 0

360 ÷ 10 : Remainder = 0

360 ÷ 12 : Remainder = 0

360 ÷ 15 : Remainder = 0

360 ÷ 18 : Remainder = 0

360 ÷ 20 : Remainder = 0

360 ÷ 24 : Remainder = 0

360 ÷ 30 : Remainder = 0

360 ÷ 36 : Remainder = 0

360 ÷ 40 : Remainder = 0

360 ÷ 45 : Remainder = 0

360 ÷ 60 : Remainder = 0

360 ÷ 72 : Remainder = 0

360 ÷ 90 : Remainder = 0

360 ÷ 120 : Remainder = 0

360 ÷ 180 : Remainder = 0

360 ÷ 360 : Remainder = 0

Hence, Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360

Frequently Asked Questions

Is 360 a composite number?
Yes 360 is a composite number.
Is 360 a prime number?
No 360 is not a prime number.
What is the mean of factors of 360?
Factors of 360 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 30 , 36 , 40 , 45 , 60 , 72 , 90 , 120 , 180 , 360. therefore mean of factors of 360 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 72 + 90 + 120 + 180 + 360) / 24 = 48.75.
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 360 but she is finding it difficult. Can you help her find out?

Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. So, factors of 360 in pair are (1,360), (2,180), (3,120), (4,90), (5,72), (6,60), (8,45), (9,40), (10,36), (12,30), (15,24), (18,20).

Sammy wants to write all the negative factors of 360 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 360 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -30, -36, -40, -45, -60, -72, -90, -120, -180, -360. Hence, factors of 360 in pair are (-1,-360), (-2,-180), (-3,-120), (-4,-90), (-5,-72), (-6,-60), (-8,-45), (-9,-40), (-10,-36), (-12,-30), (-15,-24), (-18,-20).

Help Deep in writing the positive factors of 360 in pair and negative factor of 360 in pair.

Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. Positive factors of 360 in pair are (1,360), (2,180), (3,120), (4,90), (5,72), (6,60), (8,45), (9,40), (10,36), (12,30), (15,24), (18,20). Negative factors of 360 in pair are (-1,-360), (-2,-180), (-3,-120), (-4,-90), (-5,-72), (-6,-60), (-8,-45), (-9,-40), (-10,-36), (-12,-30), (-15,-24), (-18,-20).

Find the product of all factors of 360.

Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. So the product of all factors of 360 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 18 x 20 x 24 x 30 x 36 x 40 x 45 x 60 x 72 x 90 x 120 x 180 x 360 = 4.738381338321616e+30.

Find the product of all prime factors of 360.

Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. Prime factors are 2, 2, 2, 3, 3, 5. So, the product of all prime factors of 360 would be 2 x 2 x 2 x 3 x 3 x 5 = 360.

Can you help Sammy list the factors of 360 and also find the factor pairs?

Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.
Factors of 360 in pair are (1,360), (2,180), (3,120), (4,90), (5,72), (6,60), (8,45), (9,40), (10,36), (12,30), (15,24), (18,20).

Sammy has 360 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 360 blocks in all possible ways to form a rectangle, we need to calculate factors of 360 in pair. Therefore, factors of 360 in pair are (1,360), (2,180), (3,120), (4,90), (5,72), (6,60), (8,45), (9,40), (10,36), (12,30), (15,24), (18,20)