Steps to find factors of 289 that add upto 12

Example: Find factors of 289 that add upto 12

  • Sum of 1 : 1 = 12

Hence, factors of 289 that add upto 12 are 1.

Steps to find Factors of 289

  • Step 1. Find all the numbers that would divide 289 without leaving any remainder. Starting with the number 1 upto 144 (half of 289). The number 1 and the number itself are always factors of the given number.
    289 ÷ 1 : Remainder = 0
    289 ÷ 17 : Remainder = 0
    289 ÷ 289 : Remainder = 0

Hence, Factors of 289 are 1, 17, and 289

How can we define factors?

In mathematics a factor is that number which divides into another completely, i.e. leaving 0 as a remainder. Or we can say, any numbers when multiplied together to give a product are termed as the factors of that obtained product. It can be both positive or negative.

Properties of Factors

  • Every factor of a number is an exact divisor of that number, example 1, 17, 289 are exact divisors of 289.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 289 is a factor of itself.
  • 1 is the common and smallest natural factor every number can have.
  • Every factor of a number is less than or equal to the number, eg. 1, 17, 289 are all less than or equal to 289.

Examples

Raju wishes to write all the prime factors of 289. Can you assist him in doing the same?

Factors of 289 are 1, 17, 289.
Prime factors of 289 are 17, 17.

Can you assist Aubrey in finding factors of 289 that add upto 12?

Factors of 289 are 1, 17, 289.
Factors of 289 that add upto 12 are 1, as 1 = 12.

Rustom is wondering to find the factors of 289 that add upto 12, but is stuck. Assist Rustom in writing the same.

Factors of 289 are 1, 17, 289.
Factors of 289 that add upto 12 are 1, as 1 = 12.

What are the negative pair factors of 289?

Negative factors of 289 are -1, -17, -289. Hence, factors of 289 in pair are (-1,-289), (-17,-17).

Help Andy in writing even prime factors of 289.

Factors of 289 are 1, 17, 289.
Even factors of 289 are 0.

What is the largest factors of 289?

Factors of 289 are 1, 17, 289. Largest factor f 289 is 289.

Sammy is puzzled while calculating the prime factors of 289. Can you help him find them?

Factors of 289 are 1, 17, 289.
Prime factors of 289 are 17, 17