# Factors of 252 that add upto 37

Factors of 252 that add upto 37 are 1 and 36

#### How to find factors of 252 that add upto 37

 1.   Steps to find factors of 252 that add upto 37 2.   Steps to find factors of 252 3.   What are factors? 4.   Examples

### Example: Find factors of 252 that add upto 37

• Sum of 1 and 36 : 1 + 36 = 37

Hence, factors of 252 that add upto 37 are 1 and 36.

#### Steps to find Factors of 252

• Step 1. Find all the numbers that would divide 252 without leaving any remainder. Starting with the number 1 upto 126 (half of 252). The number 1 and the number itself are always factors of the given number.
252 ÷ 1 : Remainder = 0
252 ÷ 2 : Remainder = 0
252 ÷ 3 : Remainder = 0
252 ÷ 4 : Remainder = 0
252 ÷ 6 : Remainder = 0
252 ÷ 7 : Remainder = 0
252 ÷ 9 : Remainder = 0
252 ÷ 12 : Remainder = 0
252 ÷ 14 : Remainder = 0
252 ÷ 18 : Remainder = 0
252 ÷ 21 : Remainder = 0
252 ÷ 28 : Remainder = 0
252 ÷ 36 : Remainder = 0
252 ÷ 42 : Remainder = 0
252 ÷ 63 : Remainder = 0
252 ÷ 84 : Remainder = 0
252 ÷ 126 : Remainder = 0
252 ÷ 252 : Remainder = 0

Hence, Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252

#### 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 252 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, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252 are exact divisors of 252.

#### Examples

How many factors are there for 252?

Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.
So there are in total 18 factors.

Raju wishes to write all the prime factors of 252. Can you assist him in doing the same?

Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.
Prime factors of 252 are 2, 2, 3, 3, 7.

Can you assist Aubrey in finding factors of 252 that add upto 37?

Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.
Factors of 252 that add upto 37 are 1, 36, as 1 + 36 = 37.

Can you help Diji in finding sum of all even factors of 252?

Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.
Even factors of 252 are 2, 4, 6, 12, 14, 18, 28, 36, 42, 84, 126, 252.
Hence, sum of even factors of 252 is; 2 + 4 + 6 + 12 + 14 + 18 + 28 + 36 + 42 + 84 + 126 + 252 = 624.

Rustom is wondering to find the factors of 252 that add upto 37, but is stuck. Assist Rustom in writing the same.

Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.
Factors of 252 that add upto 37 are 1, 36, as 1 + 36 = 37.

What are the negative pair factors of 252?

Negative factors of 252 are -1, -2, -3, -4, -6, -7, -9, -12, -14, -18, -21, -28, -36, -42, -63, -84, -126, -252. Hence, factors of 252 in pair are (-1,-252), (-2,-126), (-3,-84), (-4,-63), (-6,-42), (-7,-36), (-9,-28), (-12,-21), (-14,-18).

Help Rudolph in finding the product of factors of 252?

Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.
Therefore, product of factors of 252 is; 1 x 2 x 3 x 4 x 6 x 7 x 9 x 12 x 14 x 18 x 21 x 28 x 36 x 42 x 63 x 84 x 126 x 252 = 4.098310578334289e+21.