Find factors of 132 that add upto 37

Steps to find factors of 132 that add upto 37

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 37, and read off the answer!

Example: Find factors of 132 that add upto 37

Sum of 1, 3, and 33 : 1 + 3 + 33 = 37

Hence, factors of 132 that add upto 37 are 1, 3, and 33.

Steps to find Factors of 132

Step 1. Find all the numbers that would divide 132 without leaving any remainder. Starting with the number 1 upto 66 (half of 132). The number 1 and the number itself are always factors of the given number.

132 ÷ 1 : Remainder = 0

132 ÷ 2 : Remainder = 0

132 ÷ 3 : Remainder = 0

132 ÷ 4 : Remainder = 0

132 ÷ 6 : Remainder = 0

132 ÷ 11 : Remainder = 0

132 ÷ 12 : Remainder = 0

132 ÷ 22 : Remainder = 0

132 ÷ 33 : Remainder = 0

132 ÷ 44 : Remainder = 0

132 ÷ 66 : Remainder = 0

132 ÷ 132 : Remainder = 0

Hence, Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
Every number is a factor of zero (0), since 132 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, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132 are exact divisors of 132.

Examples

How many factors are there for 132?

Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.
So there are in total 12 factors.

Raju wishes to write all the prime factors of 132. Can you assist him in doing the same?

Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.
Prime factors of 132 are 2, 2, 3, 11.

Can you assist Aubrey in finding factors of 132 that add upto 37?

Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.
Factors of 132 that add upto 37 are 1, 3, 33, as 1 + 3 + 33 = 37.

Can you help Diji in finding sum of all even factors of 132?

Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.
Even factors of 132 are 2, 4, 6, 12, 22, 44, 66, 132.
Hence, sum of even factors of 132 is; 2 + 4 + 6 + 12 + 22 + 44 + 66 + 132 = 288.

Help Ashi in writing the negative pair factors of 132?

Negative factors of 132 are -1, -2, -3, -4, -6, -11, -12, -22, -33, -44, -66, -132. Hence, factors of 132 in pair are (-1,-132), (-2,-66), (-3,-44), (-4,-33), (-6,-22), (-11,-12).

Rubel's teacher has asked her to find the factors of 132 and to write the positive factors and negative factors of 132. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. Negative factors of 132 are -1, -2, -3, -4, -6, -11, -12, -22, -33, -44, -66, -132.

Write the correct prime factorization pattern of 132?

Correct prime factorization pattern of 132 is 2² x 3 x 11.

Factors of 132 that add upto 37

How to find factors of 132 that add upto 37