Factors of 234 that add upto 31 are 2, 3, and 26

How to find factors of 234 that add upto 31

Steps to find factors of 234 that add upto 31

Example: Find factors of 234 that add upto 31

  • Sum of 2, 3, and 26 : 2 + 3 + 26 = 31

Hence, factors of 234 that add upto 31 are 2, 3, and 26.

Steps to find Factors of 234

  • Step 1. Find all the numbers that would divide 234 without leaving any remainder. Starting with the number 1 upto 117 (half of 234). The number 1 and the number itself are always factors of the given number.
    234 ÷ 1 : Remainder = 0
    234 ÷ 2 : Remainder = 0
    234 ÷ 3 : Remainder = 0
    234 ÷ 6 : Remainder = 0
    234 ÷ 9 : Remainder = 0
    234 ÷ 13 : Remainder = 0
    234 ÷ 18 : Remainder = 0
    234 ÷ 26 : Remainder = 0
    234 ÷ 39 : Remainder = 0
    234 ÷ 78 : Remainder = 0
    234 ÷ 117 : Remainder = 0
    234 ÷ 234 : Remainder = 0

Hence, Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, and 234

How do you explain factors?

In mathematics, the term factor is a number or an algebraic expression that divides another number or an expression completely without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 234 is a factor of itself.
  • 2 is the only even prime factor any number can have.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234 are exact divisors of 234.
  • 1 is the common and smallest natural factor every number can have.
  • Every number is a factor of zero (0), since 234 x 0 = 0.

Examples

How many factors are there for 234?

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
So there are in total 12 factors.

Raju wishes to write all the prime factors of 234. Can you assist him in doing the same?

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Prime factors of 234 are 2, 3, 3, 13.

Rustom is wondering to find the factors of 234 that add upto 31, but is stuck. Assist Rustom in writing the same.

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Factors of 234 that add upto 31 are 2, 3, 26, as 2 + 3 + 26 = 31.

Help Andy in writing even prime factors of 234.

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Even factors of 234 are 2, 6, 18, 26, 78, 234.

What is the largest factors of 234?

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. Largest factor f 234 is 234.

Sammy is puzzled while calculating the prime factors of 234. Can you help him find them?

Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Prime factors of 234 are 2, 3, 3, 13

Help Ashi in writing the negative pair factors of 234?

Negative factors of 234 are -1, -2, -3, -6, -9, -13, -18, -26, -39, -78, -117, -234. Hence, factors of 234 in pair are (-1,-234), (-2,-117), (-3,-78), (-6,-39), (-9,-26), (-13,-18).