Factors of 289 that add upto 34

Steps to find factors of 289 that add upto 34

• Find all factors.
• Then we find the sum of combinations of factors.
• Note down the combination of factors with sum as 34, and read off the answer!

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