Find factors of 84 that add upto 31

Steps to find factors of 84 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 84 that add upto 31

Sum of 1, 2, and 28 : 1 + 2 + 28 = 31

Hence, factors of 84 that add upto 31 are 1, 2, and 28.

Steps to find Factors of 84

Step 1. Find all the numbers that would divide 84 without leaving any remainder. Starting with the number 1 upto 42 (half of 84). The number 1 and the number itself are always factors of the given number.

84 ÷ 1 : Remainder = 0

84 ÷ 2 : Remainder = 0

84 ÷ 3 : Remainder = 0

84 ÷ 4 : Remainder = 0

84 ÷ 6 : Remainder = 0

84 ÷ 7 : Remainder = 0

84 ÷ 12 : Remainder = 0

84 ÷ 14 : Remainder = 0

84 ÷ 21 : Remainder = 0

84 ÷ 28 : Remainder = 0

84 ÷ 42 : Remainder = 0

84 ÷ 84 : Remainder = 0

Hence, Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84

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 84 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, 12, 14, 21, 28, 42, 84 are exact divisors of 84.

Examples

How many factors are there for 84?

Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
So there are in total 12 factors.

Raju wishes to write all the prime factors of 84. Can you assist him in doing the same?

Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Prime factors of 84 are 2, 2, 3, 7.

Can you assist Aubrey in finding factors of 84 that add upto 31?

Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Factors of 84 that add upto 31 are 1, 2, 28, as 1 + 2 + 28 = 31.

Can you help Diji in finding sum of all even factors of 84?

Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Even factors of 84 are 2, 4, 6, 12, 14, 28, 42, 84.
Hence, sum of even factors of 84 is; 2 + 4 + 6 + 12 + 14 + 28 + 42 + 84 = 192.

Rustom is wondering to find the factors of 84 that add upto 31, but is stuck. Assist Rustom in writing the same.

Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Factors of 84 that add upto 31 are 1, 2, 28, as 1 + 2 + 28 = 31.

What are the negative pair factors of 84?

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

Help Rudolph in finding the product of factors of 84?

Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Therefore, product of factors of 84 is; 1 x 2 x 3 x 4 x 6 x 7 x 12 x 14 x 21 x 28 x 42 x 84 = 351298031616.

Factors of 84 that add upto 31

How to find factors of 84 that add upto 31