Find factors of 315 that add upto 26

Steps to find factors of 315 that add upto 26

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 26, and read off the answer!

Example: Find factors of 315 that add upto 26

Sum of 5 and 21 : 5 + 21 = 26

Hence, factors of 315 that add upto 26 are 5 and 21.

Steps to find Factors of 315

Step 1. Find all the numbers that would divide 315 without leaving any remainder. Starting with the number 1 upto 157 (half of 315). The number 1 and the number itself are always factors of the given number.

315 ÷ 1 : Remainder = 0

315 ÷ 3 : Remainder = 0

315 ÷ 5 : Remainder = 0

315 ÷ 7 : Remainder = 0

315 ÷ 9 : Remainder = 0

315 ÷ 15 : Remainder = 0

315 ÷ 21 : Remainder = 0

315 ÷ 35 : Remainder = 0

315 ÷ 45 : Remainder = 0

315 ÷ 63 : Remainder = 0

315 ÷ 105 : Remainder = 0

315 ÷ 315 : Remainder = 0

Hence, Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, and 315

What is the definition of factors?

When certain numbers are multiplied together they produce a product, in that case the numbers used are defined as the factors of the product obtained. A factor of a number can be positive or negative.

Properties of Factors

Every number is a factor of zero (0), since 315 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, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315 are exact divisors of 315.
Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. Each factor divides 315 without leaving a remainder.
Every number consists of one common and smallest factor and that is number 1.

Examples

How many factors are there for 315?

Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.
So there are in total 12 factors.

Raju wishes to write all the prime factors of 315. Can you assist him in doing the same?

Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.
Prime factors of 315 are 3, 3, 5, 7.

Can you assist Aubrey in finding factors of 315 that add upto 26?

Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.
Factors of 315 that add upto 26 are 5, 21, as 5 + 21 = 26.

Can you help Diji in finding sum of all even factors of 315?

Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.
Even factors of 315 are 0.
Hence, sum of even factors of 315 is; 0 = 0.

Rustom is wondering to find the factors of 315 that add upto 26, but is stuck. Assist Rustom in writing the same.

Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.
Factors of 315 that add upto 26 are 5, 21, as 5 + 21 = 26.

What are the negative pair factors of 315?

Negative factors of 315 are -1, -3, -5, -7, -9, -15, -21, -35, -45, -63, -105, -315. Hence, factors of 315 in pair are (-1,-315), (-3,-105), (-5,-63), (-7,-45), (-9,-35), (-15,-21).

Help Rudolph in finding the product of factors of 315?

Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.
Therefore, product of factors of 315 is; 1 x 3 x 5 x 7 x 9 x 15 x 21 x 35 x 45 x 63 x 105 x 315 = 976929722015625.

Factors of 315 that add upto 26

How to find factors of 315 that add upto 26