Factors of 315 that add upto 68

Steps to find factors of 315 that add upto 68

• Find all factors.
• Then we find the sum of combinations of factors.
• Note down the combination of factors with sum as 68, and read off the answer!

Steps to find Factors of 315

• Step 1. Find all the numbers that would divide 315 without leaving any remainder. Starting with the number 1 upto 157 (half of 315). The number 1 and the number itself are always factors of the given number.
  315 ÷ 1 : Remainder = 0

  315 ÷ 3 : Remainder = 0

  315 ÷ 5 : Remainder = 0

  315 ÷ 7 : Remainder = 0

  315 ÷ 9 : Remainder = 0

  315 ÷ 15 : Remainder = 0

  315 ÷ 21 : Remainder = 0

  315 ÷ 35 : Remainder = 0

  315 ÷ 45 : Remainder = 0

  315 ÷ 63 : Remainder = 0

  315 ÷ 105 : Remainder = 0

  315 ÷ 315 : Remainder = 0

Hence, Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, and 315

What is the definition of factors?

When certain numbers are multiplied together they produce a product, in that case the numbers used are defined as the factors of the product obtained. A factor of a number can be positive or negative.

Properties of Factors

• Every number is a factor of zero (0), since 315 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, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315 are exact divisors of 315.
• Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. Each factor divides 315 without leaving a remainder.
• Every number consists of one common and smallest factor and that is number 1.

Examples