Factors of 66 that add upto 31

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Factors of 66 that add upto 31 are 1, 2, 6, and 22

How to find factors of 66 that add upto 31

Steps to find factors of 66 that add upto 31

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 31, and read off the answer!

Example: Find factors of 66 that add upto 31

Sum of 1, 2, 6, and 22 : 1 + 2 + 6 + 22 = 31

Hence, factors of 66 that add upto 31 are 1, 2, 6, and 22.

Steps to find Factors of 66

Step 1. Find all the numbers that would divide 66 without leaving any remainder. Starting with the number 1 upto 33 (half of 66). The number 1 and the number itself are always factors of the given number.

66 ÷ 1 : Remainder = 0

66 ÷ 2 : Remainder = 0

66 ÷ 3 : Remainder = 0

66 ÷ 6 : Remainder = 0

66 ÷ 11 : Remainder = 0

66 ÷ 22 : Remainder = 0

66 ÷ 33 : Remainder = 0

66 ÷ 66 : Remainder = 0

Hence, Factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66

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. 66 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, 11, 22, 33, 66 are exact divisors of 66.
1 is the common and smallest natural factor every number can have.
Every number is a factor of zero (0), since 66 x 0 = 0.

Examples

How many factors are there for 66?

Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
So there are in total 8 factors.

Raju wishes to write all the prime factors of 66. Can you assist him in doing the same?

Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Prime factors of 66 are 2, 3, 11.

Rustom is wondering to find the factors of 66 that add upto 31, but is stuck. Assist Rustom in writing the same.

Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Factors of 66 that add upto 31 are 1, 2, 6, 22, as 1 + 2 + 6 + 22 = 31.

Help Andy in writing even prime factors of 66.

Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Even factors of 66 are 2, 6, 22, 66.

What is the largest factors of 66?

Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. Largest factor f 66 is 66.

Sammy is puzzled while calculating the prime factors of 66. Can you help him find them?

Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Prime factors of 66 are 2, 3, 11

Help Ashi in writing the negative pair factors of 66?

Negative factors of 66 are -1, -2, -3, -6, -11, -22, -33, -66. Hence, factors of 66 in pair are (-1,-66), (-2,-33), (-3,-22), (-6,-11).