Factors of 1360 in pair are (1, 1360) , (2, 680) , (4, 340) , (5, 272) , (8, 170) , (10, 136) , (16, 85) , (17, 80) , (20, 68) and (34, 40)

How to find factors of a number in pair

Steps to find factors of 1360 in pair

Example: Find factors of 1360 in pair

Factor Pair Pair Factorization
1 and 1360 1 x 1360 = 1360
2 and 680 2 x 680 = 1360
4 and 340 4 x 340 = 1360
5 and 272 5 x 272 = 1360
8 and 170 8 x 170 = 1360
10 and 136 10 x 136 = 1360
16 and 85 16 x 85 = 1360
17 and 80 17 x 80 = 1360
20 and 68 20 x 68 = 1360
34 and 40 34 x 40 = 1360

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 1360. They are called negative pair factors.

Hence, the negative pairs of 1360 would be ( -1 , -1360 ) .

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 1360 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 34 , 40 , 68 , 80 , 85 , 136 , 170 , 272 , 340 , 680 , 1360. So, factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40).

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. 1360 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1360.
  • Every number is a factor of zero (0), since 1360 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, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360 are exact divisors of 1360.
  • Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. Each factor divides 1360 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360 are all less than or equal to 1360.

Steps to find Factors of 1360

  • Step 1. Find all the numbers that would divide 1360 without leaving any remainder. Starting with the number 1 upto 680 (half of 1360). The number 1 and the number itself are always factors of the given number.
    1360 ÷ 1 : Remainder = 0
    1360 ÷ 2 : Remainder = 0
    1360 ÷ 4 : Remainder = 0
    1360 ÷ 5 : Remainder = 0
    1360 ÷ 8 : Remainder = 0
    1360 ÷ 10 : Remainder = 0
    1360 ÷ 16 : Remainder = 0
    1360 ÷ 17 : Remainder = 0
    1360 ÷ 20 : Remainder = 0
    1360 ÷ 34 : Remainder = 0
    1360 ÷ 40 : Remainder = 0
    1360 ÷ 68 : Remainder = 0
    1360 ÷ 80 : Remainder = 0
    1360 ÷ 85 : Remainder = 0
    1360 ÷ 136 : Remainder = 0
    1360 ÷ 170 : Remainder = 0
    1360 ÷ 272 : Remainder = 0
    1360 ÷ 340 : Remainder = 0
    1360 ÷ 680 : Remainder = 0
    1360 ÷ 1360 : Remainder = 0

Hence, Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, and 1360

Frequently Asked Questions

  • Is 1360 a composite number?

    Yes 1360 is a composite number.

  • Is 1360 a prime number?

    No 1360 is not a prime number.

  • Write five multiples of 1360.

    Five multiples of 1360 are 2720, 4080, 5440, 6800, 8160.

  • Write all odd factors of 1360?

    The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360.
    Odd factors of 1360 are 1 , 5 , 17 , 85.

  • What is the mean of all prime factors of 1360?

    Factors of 1360 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 34 , 40 , 68 , 80 , 85 , 136 , 170 , 272 , 340 , 680 , 1360. Prime factors of 1360 are 2 , 2 , 2 , 2 , 5 , 17. Therefore mean of prime factors of 1360 is (2 + 2 + 2 + 2 + 5 + 17) / 6 = 5.00.

Examples of Factors

Ariel has been asked to write all factor pairs of 1360 but she is finding it difficult. Can you help her find out?

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. So, factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40).

Sammy wants to write all the negative factors of 1360 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1360 are -1, -2, -4, -5, -8, -10, -16, -17, -20, -34, -40, -68, -80, -85, -136, -170, -272, -340, -680, -1360. Hence, factors of 1360 in pair are (-1,-1360), (-2,-680), (-4,-340), (-5,-272), (-8,-170), (-10,-136), (-16,-85), (-17,-80), (-20,-68), (-34,-40).

Help Deep in writing the positive factors of 1360 in pair and negative factor of 1360 in pair.

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. Positive factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40). Negative factors of 1360 in pair are (-1,-1360), (-2,-680), (-4,-340), (-5,-272), (-8,-170), (-10,-136), (-16,-85), (-17,-80), (-20,-68), (-34,-40).

Find the product of all factors of 1360.

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. So the product of all factors of 1360 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 17 x 20 x 34 x 40 x 68 x 80 x 85 x 136 x 170 x 272 x 340 x 680 x 1360 = 2.1646569678409836e+31.

Find the product of all prime factors of 1360.

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. Prime factors are 2, 2, 2, 2, 5, 17. So, the product of all prime factors of 1360 would be 2 x 2 x 2 x 2 x 5 x 17 = 1360.

Can you help Sammy list the factors of 1360 and also find the factor pairs?

Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360.
Factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40).

Sammy has 1360 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 1360 blocks in all possible ways to form a rectangle, we need to calculate factors of 1360 in pair. Therefore, factors of 1360 in pair are (1,1360), (2,680), (4,340), (5,272), (8,170), (10,136), (16,85), (17,80), (20,68), (34,40)