Factors of 720 in pair

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Factors of 720 in pair are (1, 720) , (2, 360) , (3, 240) , (4, 180) , (5, 144) , (6, 120) , (8, 90) , (9, 80) , (10, 72) , (12, 60) , (15, 48) , (16, 45) , (18, 40) , (20, 36) and (24, 30)

How to find factors of a number in pair

Steps to find factors of 720 in pair

Find all the numbers that would divide 720 without leaving any remainder. Starting with the number 1 upto 360 (half of 720). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 720, and read off the answer!

Example: Find factors of 720 in pair

Factor Pair	Pair Factorization
1 and 720	1 x 720 = 720
2 and 360	2 x 360 = 720
3 and 240	3 x 240 = 720
4 and 180	4 x 180 = 720
5 and 144	5 x 144 = 720
6 and 120	6 x 120 = 720
8 and 90	8 x 90 = 720
9 and 80	9 x 80 = 720
10 and 72	10 x 72 = 720
12 and 60	12 x 60 = 720
15 and 48	15 x 48 = 720
16 and 45	16 x 45 = 720
18 and 40	18 x 40 = 720
20 and 36	20 x 36 = 720
24 and 30	24 x 30 = 720

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 720. They are called negative pair factors.

Hence, the negative pairs of 720 would be ( -1 , -720 ) .

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 720 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 30 , 36 , 40 , 45 , 48 , 60 , 72 , 80 , 90 , 120 , 144 , 180 , 240 , 360 , 720. So, factors of 720 in pair are (1,720), (2,360), (3,240), (4,180), (5,144), (6,120), (8,90), (9,80), (10,72), (12,60), (15,48), (16,45), (18,40), (20,36), (24,30).

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. 720 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 720.
Every number is a factor of zero (0), since 720 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, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720 are exact divisors of 720.
Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. Each factor divides 720 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, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720 are all less than or equal to 720.

Steps to find Factors of 720

Step 1. Find all the numbers that would divide 720 without leaving any remainder. Starting with the number 1 upto 360 (half of 720). The number 1 and the number itself are always factors of the given number.

720 ÷ 1 : Remainder = 0

720 ÷ 2 : Remainder = 0

720 ÷ 3 : Remainder = 0

720 ÷ 4 : Remainder = 0

720 ÷ 5 : Remainder = 0

720 ÷ 6 : Remainder = 0

720 ÷ 8 : Remainder = 0

720 ÷ 9 : Remainder = 0

720 ÷ 10 : Remainder = 0

720 ÷ 12 : Remainder = 0

720 ÷ 15 : Remainder = 0

720 ÷ 16 : Remainder = 0

720 ÷ 18 : Remainder = 0

720 ÷ 20 : Remainder = 0

720 ÷ 24 : Remainder = 0

720 ÷ 30 : Remainder = 0

720 ÷ 36 : Remainder = 0

720 ÷ 40 : Remainder = 0

720 ÷ 45 : Remainder = 0

720 ÷ 48 : Remainder = 0

720 ÷ 60 : Remainder = 0

720 ÷ 72 : Remainder = 0

720 ÷ 80 : Remainder = 0

720 ÷ 90 : Remainder = 0

720 ÷ 120 : Remainder = 0

720 ÷ 144 : Remainder = 0

720 ÷ 180 : Remainder = 0

720 ÷ 240 : Remainder = 0

720 ÷ 360 : Remainder = 0

720 ÷ 720 : Remainder = 0

Hence, Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720

Frequently Asked Questions

Is 720 a composite number?
Yes 720 is a composite number.
Is 720 a prime number?
No 720 is not a prime number.
What is the mean of factors of 720?
Factors of 720 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 30 , 36 , 40 , 45 , 48 , 60 , 72 , 80 , 90 , 120 , 144 , 180 , 240 , 360 , 720. therefore mean of factors of 720 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 48 + 60 + 72 + 80 + 90 + 120 + 144 + 180 + 240 + 360 + 720) / 30 = 80.60.
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 720 but she is finding it difficult. Can you help her find out?

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. So, factors of 720 in pair are (1,720), (2,360), (3,240), (4,180), (5,144), (6,120), (8,90), (9,80), (10,72), (12,60), (15,48), (16,45), (18,40), (20,36), (24,30).

Sammy wants to write all the negative factors of 720 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 720 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -36, -40, -45, -48, -60, -72, -80, -90, -120, -144, -180, -240, -360, -720. Hence, factors of 720 in pair are (-1,-720), (-2,-360), (-3,-240), (-4,-180), (-5,-144), (-6,-120), (-8,-90), (-9,-80), (-10,-72), (-12,-60), (-15,-48), (-16,-45), (-18,-40), (-20,-36), (-24,-30).

Help Deep in writing the positive factors of 720 in pair and negative factor of 720 in pair.

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. Positive factors of 720 in pair are (1,720), (2,360), (3,240), (4,180), (5,144), (6,120), (8,90), (9,80), (10,72), (12,60), (15,48), (16,45), (18,40), (20,36), (24,30). Negative factors of 720 in pair are (-1,-720), (-2,-360), (-3,-240), (-4,-180), (-5,-144), (-6,-120), (-8,-90), (-9,-80), (-10,-72), (-12,-60), (-15,-48), (-16,-45), (-18,-40), (-20,-36), (-24,-30).

Find the product of all factors of 720.

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. So the product of all factors of 720 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 16 x 18 x 20 x 24 x 30 x 36 x 40 x 45 x 48 x 60 x 72 x 80 x 90 x 120 x 144 x 180 x 240 x 360 x 720 = 7.24415020140899e+42.

Find the product of all prime factors of 720.

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. Prime factors are 2, 2, 2, 2, 3, 3, 5. So, the product of all prime factors of 720 would be 2 x 2 x 2 x 2 x 3 x 3 x 5 = 720.

Can you help Sammy list the factors of 720 and also find the factor pairs?

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720.
Factors of 720 in pair are (1,720), (2,360), (3,240), (4,180), (5,144), (6,120), (8,90), (9,80), (10,72), (12,60), (15,48), (16,45), (18,40), (20,36), (24,30).

Sammy has 720 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 720 blocks in all possible ways to form a rectangle, we need to calculate factors of 720 in pair. Therefore, factors of 720 in pair are (1,720), (2,360), (3,240), (4,180), (5,144), (6,120), (8,90), (9,80), (10,72), (12,60), (15,48), (16,45), (18,40), (20,36), (24,30)