Factors of 1560 in pair

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Factors of 1560 in pair are (1, 1560) , (2, 780) , (3, 520) , (4, 390) , (5, 312) , (6, 260) , (8, 195) , (10, 156) , (12, 130) , (13, 120) , (15, 104) , (20, 78) , (24, 65) , (26, 60) , (30, 52) and (39, 40)

How to find factors of a number in pair

Steps to find factors of 1560 in pair

Find all the numbers that would divide 1560 without leaving any remainder. Starting with the number 1 upto 780 (half of 1560). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1560, and read off the answer!

Example: Find factors of 1560 in pair

Factor Pair	Pair Factorization
1 and 1560	1 x 1560 = 1560
2 and 780	2 x 780 = 1560
3 and 520	3 x 520 = 1560
4 and 390	4 x 390 = 1560
5 and 312	5 x 312 = 1560
6 and 260	6 x 260 = 1560
8 and 195	8 x 195 = 1560
10 and 156	10 x 156 = 1560
12 and 130	12 x 130 = 1560
13 and 120	13 x 120 = 1560
15 and 104	15 x 104 = 1560
20 and 78	20 x 78 = 1560
24 and 65	24 x 65 = 1560
26 and 60	26 x 60 = 1560
30 and 52	30 x 52 = 1560
39 and 40	39 x 40 = 1560

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 1560. They are called negative pair factors.

Hence, the negative pairs of 1560 would be ( -1 , -1560 ) .

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 1560 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 20 , 24 , 26 , 30 , 39 , 40 , 52 , 60 , 65 , 78 , 104 , 120 , 130 , 156 , 195 , 260 , 312 , 390 , 520 , 780 , 1560. So, factors of 1560 in pair are (1,1560), (2,780), (3,520), (4,390), (5,312), (6,260), (8,195), (10,156), (12,130), (13,120), (15,104), (20,78), (24,65), (26,60), (30,52), (39,40).

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. 1560 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1560.
Every number is a factor of zero (0), since 1560 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, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560 are exact divisors of 1560.
Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. Each factor divides 1560 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, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560 are all less than or equal to 1560.

Steps to find Factors of 1560

Step 1. Find all the numbers that would divide 1560 without leaving any remainder. Starting with the number 1 upto 780 (half of 1560). The number 1 and the number itself are always factors of the given number.

1560 ÷ 1 : Remainder = 0

1560 ÷ 2 : Remainder = 0

1560 ÷ 3 : Remainder = 0

1560 ÷ 4 : Remainder = 0

1560 ÷ 5 : Remainder = 0

1560 ÷ 6 : Remainder = 0

1560 ÷ 8 : Remainder = 0

1560 ÷ 10 : Remainder = 0

1560 ÷ 12 : Remainder = 0

1560 ÷ 13 : Remainder = 0

1560 ÷ 15 : Remainder = 0

1560 ÷ 20 : Remainder = 0

1560 ÷ 24 : Remainder = 0

1560 ÷ 26 : Remainder = 0

1560 ÷ 30 : Remainder = 0

1560 ÷ 39 : Remainder = 0

1560 ÷ 40 : Remainder = 0

1560 ÷ 52 : Remainder = 0

1560 ÷ 60 : Remainder = 0

1560 ÷ 65 : Remainder = 0

1560 ÷ 78 : Remainder = 0

1560 ÷ 104 : Remainder = 0

1560 ÷ 120 : Remainder = 0

1560 ÷ 130 : Remainder = 0

1560 ÷ 156 : Remainder = 0

1560 ÷ 195 : Remainder = 0

1560 ÷ 260 : Remainder = 0

1560 ÷ 312 : Remainder = 0

1560 ÷ 390 : Remainder = 0

1560 ÷ 520 : Remainder = 0

1560 ÷ 780 : Remainder = 0

1560 ÷ 1560 : Remainder = 0

Hence, Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, and 1560

Frequently Asked Questions

Is 1560 a composite number?
Yes 1560 is a composite number.
Is 1560 a prime number?
No 1560 is not a prime number.
What is the mean of factors of 1560?
Factors of 1560 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 20 , 24 , 26 , 30 , 39 , 40 , 52 , 60 , 65 , 78 , 104 , 120 , 130 , 156 , 195 , 260 , 312 , 390 , 520 , 780 , 1560. therefore mean of factors of 1560 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 20 + 24 + 26 + 30 + 39 + 40 + 52 + 60 + 65 + 78 + 104 + 120 + 130 + 156 + 195 + 260 + 312 + 390 + 520 + 780 + 1560) / 32 = 157.50.
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 1560 but she is finding it difficult. Can you help her find out?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. So, factors of 1560 in pair are (1,1560), (2,780), (3,520), (4,390), (5,312), (6,260), (8,195), (10,156), (12,130), (13,120), (15,104), (20,78), (24,65), (26,60), (30,52), (39,40).

Sammy wants to write all the negative factors of 1560 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1560 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -20, -24, -26, -30, -39, -40, -52, -60, -65, -78, -104, -120, -130, -156, -195, -260, -312, -390, -520, -780, -1560. Hence, factors of 1560 in pair are (-1,-1560), (-2,-780), (-3,-520), (-4,-390), (-5,-312), (-6,-260), (-8,-195), (-10,-156), (-12,-130), (-13,-120), (-15,-104), (-20,-78), (-24,-65), (-26,-60), (-30,-52), (-39,-40).

Help Deep in writing the positive factors of 1560 in pair and negative factor of 1560 in pair.

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. Positive factors of 1560 in pair are (1,1560), (2,780), (3,520), (4,390), (5,312), (6,260), (8,195), (10,156), (12,130), (13,120), (15,104), (20,78), (24,65), (26,60), (30,52), (39,40). Negative factors of 1560 in pair are (-1,-1560), (-2,-780), (-3,-520), (-4,-390), (-5,-312), (-6,-260), (-8,-195), (-10,-156), (-12,-130), (-13,-120), (-15,-104), (-20,-78), (-24,-65), (-26,-60), (-30,-52), (-39,-40).

Find the product of all factors of 1560.

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. So the product of all factors of 1560 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 13 x 15 x 20 x 24 x 26 x 30 x 39 x 40 x 52 x 60 x 65 x 78 x 104 x 120 x 130 x 156 x 195 x 260 x 312 x 390 x 520 x 780 x 1560 = 1.2302505664528028e+51.

Find the product of all prime factors of 1560.

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. Prime factors are 2, 2, 2, 3, 5, 13. So, the product of all prime factors of 1560 would be 2 x 2 x 2 x 3 x 5 x 13 = 1560.

Can you help Sammy list the factors of 1560 and also find the factor pairs?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
Factors of 1560 in pair are (1,1560), (2,780), (3,520), (4,390), (5,312), (6,260), (8,195), (10,156), (12,130), (13,120), (15,104), (20,78), (24,65), (26,60), (30,52), (39,40).

Sammy has 1560 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 1560 blocks in all possible ways to form a rectangle, we need to calculate factors of 1560 in pair. Therefore, factors of 1560 in pair are (1,1560), (2,780), (3,520), (4,390), (5,312), (6,260), (8,195), (10,156), (12,130), (13,120), (15,104), (20,78), (24,65), (26,60), (30,52), (39,40)