Factors of 280 in pair are (1, 280) , (2, 140) , (4, 70) , (5, 56) , (7, 40) , (8, 35) , (10, 28) and (14, 20)

How to find factors of a number in pair

Steps to find factors of 280 in pair

Example: Find factors of 280 in pair

Factor Pair Pair Factorization
1 and 280 1 x 280 = 280
2 and 140 2 x 140 = 280
4 and 70 4 x 70 = 280
5 and 56 5 x 56 = 280
7 and 40 7 x 40 = 280
8 and 35 8 x 35 = 280
10 and 28 10 x 28 = 280
14 and 20 14 x 20 = 280

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 280. They are called negative pair factors.

Hence, the negative pairs of 280 would be ( -1 , -280 ) .

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 280 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 28 , 35 , 40 , 56 , 70 , 140 , 280. So, factors of 280 in pair are (1,280), (2,140), (4,70), (5,56), (7,40), (8,35), (10,28), (14,20).

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. 280 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 280.
  • Every number is a factor of zero (0), since 280 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, 20, 28, 35, 40, 56, 70, 140, 280 are exact divisors of 280.
  • Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. Each factor divides 280 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, 20, 28, 35, 40, 56, 70, 140, 280 are all less than or equal to 280.

Steps to find Factors of 280

  • Step 1. Find all the numbers that would divide 280 without leaving any remainder. Starting with the number 1 upto 140 (half of 280). The number 1 and the number itself are always factors of the given number.
    280 ÷ 1 : Remainder = 0
    280 ÷ 2 : Remainder = 0
    280 ÷ 4 : Remainder = 0
    280 ÷ 5 : Remainder = 0
    280 ÷ 7 : Remainder = 0
    280 ÷ 8 : Remainder = 0
    280 ÷ 10 : Remainder = 0
    280 ÷ 14 : Remainder = 0
    280 ÷ 20 : Remainder = 0
    280 ÷ 28 : Remainder = 0
    280 ÷ 35 : Remainder = 0
    280 ÷ 40 : Remainder = 0
    280 ÷ 56 : Remainder = 0
    280 ÷ 70 : Remainder = 0
    280 ÷ 140 : Remainder = 0
    280 ÷ 280 : Remainder = 0

Hence, Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280

Frequently Asked Questions

  • Is 280 a composite number?

    Yes 280 is a composite number.

  • Is 280 a prime number?

    No 280 is not a prime number.

  • Write five multiples of 280.

    Five multiples of 280 are 560, 840, 1120, 1400, 1680.

  • Write all odd factors of 280?

    The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
    Odd factors of 280 are 1 , 5 , 7 , 35.

  • What is the mean of all prime factors of 280?

    Factors of 280 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 28 , 35 , 40 , 56 , 70 , 140 , 280. Prime factors of 280 are 2 , 2 , 2 , 5 , 7. Therefore mean of prime factors of 280 is (2 + 2 + 2 + 5 + 7) / 5 = 3.60.

Examples of Factors

Ariel has been asked to write all factor pairs of 280 but she is finding it difficult. Can you help her find out?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. So, factors of 280 in pair are (1,280), (2,140), (4,70), (5,56), (7,40), (8,35), (10,28), (14,20).

Sammy wants to write all the negative factors of 280 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 280 are -1, -2, -4, -5, -7, -8, -10, -14, -20, -28, -35, -40, -56, -70, -140, -280. Hence, factors of 280 in pair are (-1,-280), (-2,-140), (-4,-70), (-5,-56), (-7,-40), (-8,-35), (-10,-28), (-14,-20).

Help Deep in writing the positive factors of 280 in pair and negative factor of 280 in pair.

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. Positive factors of 280 in pair are (1,280), (2,140), (4,70), (5,56), (7,40), (8,35), (10,28), (14,20). Negative factors of 280 in pair are (-1,-280), (-2,-140), (-4,-70), (-5,-56), (-7,-40), (-8,-35), (-10,-28), (-14,-20).

Find the product of all factors of 280.

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. So the product of all factors of 280 would be 1 x 2 x 4 x 5 x 7 x 8 x 10 x 14 x 20 x 28 x 35 x 40 x 56 x 70 x 140 x 280 = 37780199833600000000.

Find the product of all prime factors of 280.

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

Can you help Sammy list the factors of 280 and also find the factor pairs?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Factors of 280 in pair are (1,280), (2,140), (4,70), (5,56), (7,40), (8,35), (10,28), (14,20).

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