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

How to find factors of a number in pair

Steps to find factors of 680 in pair

Example: Find factors of 680 in pair

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

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 680. They are called negative pair factors.

Hence, the negative pairs of 680 would be ( -1 , -680 ) .

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

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

Steps to find Factors of 680

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

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

Frequently Asked Questions

  • Is 680 a composite number?

    Yes 680 is a composite number.

  • Is 680 a prime number?

    No 680 is not a prime number.

  • Is 680 a perfect square?

    No 680 is not a perfect square.

  • Write five multiples of 680.

    Five multiples of 680 are 1360, 2040, 2720, 3400, 4080.

  • Write all odd factors of 680?

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

Examples of Factors

Ariel has been asked to write all factor pairs of 680 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 680 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 680 in pair and negative factor of 680 in pair.

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

Find the product of all factors of 680.

Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. So the product of all factors of 680 would be 1 x 2 x 4 x 5 x 8 x 10 x 17 x 20 x 34 x 40 x 68 x 85 x 136 x 170 x 340 x 680 = 4.57163239653376e+22.

Find the product of all prime factors of 680.

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

Can you help Sammy list the factors of 680 and also find the factor pairs?

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

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