Steps to find factors of 280 that add upto 18

Example: Find factors of 280 that add upto 18

  • Sum of 4 and 14 : 4 + 14 = 18

Hence, factors of 280 that add upto 18 are 4 and 14.

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

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
  • Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
  • 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.

Examples

How many factors are there for 280?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
So there are in total 16 factors.

Raju wishes to write all the prime factors of 280. Can you assist him in doing the same?

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.

Can you assist Aubrey in finding factors of 280 that add upto 18?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Factors of 280 that add upto 18 are 4, 14, as 4 + 14 = 18.

Can you help Diji in finding sum of all even factors of 280?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Even factors of 280 are 2, 4, 8, 10, 14, 20, 28, 40, 56, 70, 140, 280.
Hence, sum of even factors of 280 is; 2 + 4 + 8 + 10 + 14 + 20 + 28 + 40 + 56 + 70 + 140 + 280 = 672.

Rustom is wondering to find the factors of 280 that add upto 18, but is stuck. Assist Rustom in writing the same.

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Factors of 280 that add upto 18 are 4, 14, as 4 + 14 = 18.

What are the negative pair factors of 280?

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 Rudolph in finding the product of factors of 280?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Therefore, product of factors of 280 is; 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.