Factors of 1120 in pair

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Factors of 1120 in pair are (1, 1120) , (2, 560) , (4, 280) , (5, 224) , (7, 160) , (8, 140) , (10, 112) , (14, 80) , (16, 70) , (20, 56) , (28, 40) and (32, 35)

How to find factors of a number in pair

Steps to find factors of 1120 in pair

Find all the numbers that would divide 1120 without leaving any remainder. Starting with the number 1 upto 560 (half of 1120). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1120, and read off the answer!

Example: Find factors of 1120 in pair

Factor Pair	Pair Factorization
1 and 1120	1 x 1120 = 1120
2 and 560	2 x 560 = 1120
4 and 280	4 x 280 = 1120
5 and 224	5 x 224 = 1120
7 and 160	7 x 160 = 1120
8 and 140	8 x 140 = 1120
10 and 112	10 x 112 = 1120
14 and 80	14 x 80 = 1120
16 and 70	16 x 70 = 1120
20 and 56	20 x 56 = 1120
28 and 40	28 x 40 = 1120
32 and 35	32 x 35 = 1120

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 1120. They are called negative pair factors.

Hence, the negative pairs of 1120 would be ( -1 , -1120 ) .

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 1120 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 28 , 32 , 35 , 40 , 56 , 70 , 80 , 112 , 140 , 160 , 224 , 280 , 560 , 1120. So, factors of 1120 in pair are (1,1120), (2,560), (4,280), (5,224), (7,160), (8,140), (10,112), (14,80), (16,70), (20,56), (28,40), (32,35).

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. 1120 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1120.
Every number is a factor of zero (0), since 1120 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, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120 are exact divisors of 1120.
Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. Each factor divides 1120 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120 are all less than or equal to 1120.

Steps to find Factors of 1120

Step 1. Find all the numbers that would divide 1120 without leaving any remainder. Starting with the number 1 upto 560 (half of 1120). The number 1 and the number itself are always factors of the given number.

1120 ÷ 1 : Remainder = 0

1120 ÷ 2 : Remainder = 0

1120 ÷ 4 : Remainder = 0

1120 ÷ 5 : Remainder = 0

1120 ÷ 7 : Remainder = 0

1120 ÷ 8 : Remainder = 0

1120 ÷ 10 : Remainder = 0

1120 ÷ 14 : Remainder = 0

1120 ÷ 16 : Remainder = 0

1120 ÷ 20 : Remainder = 0

1120 ÷ 28 : Remainder = 0

1120 ÷ 32 : Remainder = 0

1120 ÷ 35 : Remainder = 0

1120 ÷ 40 : Remainder = 0

1120 ÷ 56 : Remainder = 0

1120 ÷ 70 : Remainder = 0

1120 ÷ 80 : Remainder = 0

1120 ÷ 112 : Remainder = 0

1120 ÷ 140 : Remainder = 0

1120 ÷ 160 : Remainder = 0

1120 ÷ 224 : Remainder = 0

1120 ÷ 280 : Remainder = 0

1120 ÷ 560 : Remainder = 0

1120 ÷ 1120 : Remainder = 0

Hence, Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, and 1120

Frequently Asked Questions

Is 1120 a composite number?
Yes 1120 is a composite number.
Is 1120 a prime number?
No 1120 is not a prime number.
Write five multiples of 1120.
Five multiples of 1120 are 2240, 3360, 4480, 5600, 6720.
Write all odd factors of 1120?
The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120.
Odd factors of 1120 are 1 , 5 , 7 , 35.
What is the mean of all prime factors of 1120?
Factors of 1120 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 28 , 32 , 35 , 40 , 56 , 70 , 80 , 112 , 140 , 160 , 224 , 280 , 560 , 1120. Prime factors of 1120 are 2 , 2 , 2 , 2 , 2 , 5 , 7. Therefore mean of prime factors of 1120 is (2 + 2 + 2 + 2 + 2 + 5 + 7) / 7 = 3.14.

Examples of Factors

Ariel has been asked to write all factor pairs of 1120 but she is finding it difficult. Can you help her find out?

Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. So, factors of 1120 in pair are (1,1120), (2,560), (4,280), (5,224), (7,160), (8,140), (10,112), (14,80), (16,70), (20,56), (28,40), (32,35).

Sammy wants to write all the negative factors of 1120 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1120 are -1, -2, -4, -5, -7, -8, -10, -14, -16, -20, -28, -32, -35, -40, -56, -70, -80, -112, -140, -160, -224, -280, -560, -1120. Hence, factors of 1120 in pair are (-1,-1120), (-2,-560), (-4,-280), (-5,-224), (-7,-160), (-8,-140), (-10,-112), (-14,-80), (-16,-70), (-20,-56), (-28,-40), (-32,-35).

Help Deep in writing the positive factors of 1120 in pair and negative factor of 1120 in pair.

Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. Positive factors of 1120 in pair are (1,1120), (2,560), (4,280), (5,224), (7,160), (8,140), (10,112), (14,80), (16,70), (20,56), (28,40), (32,35). Negative factors of 1120 in pair are (-1,-1120), (-2,-560), (-4,-280), (-5,-224), (-7,-160), (-8,-140), (-10,-112), (-14,-80), (-16,-70), (-20,-56), (-28,-40), (-32,-35).

Find the product of all factors of 1120.

Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. So the product of all factors of 1120 would be 1 x 2 x 4 x 5 x 7 x 8 x 10 x 14 x 16 x 20 x 28 x 32 x 35 x 40 x 56 x 70 x 80 x 112 x 140 x 160 x 224 x 280 x 560 x 1120 = 3.8959759925469764e+36.

Find the product of all prime factors of 1120.

Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. Prime factors are 2, 2, 2, 2, 2, 5, 7. So, the product of all prime factors of 1120 would be 2 x 2 x 2 x 2 x 2 x 5 x 7 = 1120.

Can you help Sammy list the factors of 1120 and also find the factor pairs?

Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120.
Factors of 1120 in pair are (1,1120), (2,560), (4,280), (5,224), (7,160), (8,140), (10,112), (14,80), (16,70), (20,56), (28,40), (32,35).

Sammy has 1120 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 1120 blocks in all possible ways to form a rectangle, we need to calculate factors of 1120 in pair. Therefore, factors of 1120 in pair are (1,1120), (2,560), (4,280), (5,224), (7,160), (8,140), (10,112), (14,80), (16,70), (20,56), (28,40), (32,35)