Find factors of 378 that add upto 27

Steps to find factors of 378 that add upto 27

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 27, and read off the answer!

Example: Find factors of 378 that add upto 27

Sum of 1, 2, 3, and 21 : 1 + 2 + 3 + 21 = 27

Hence, factors of 378 that add upto 27 are 1, 2, 3, and 21.

Steps to find Factors of 378

Step 1. Find all the numbers that would divide 378 without leaving any remainder. Starting with the number 1 upto 189 (half of 378). The number 1 and the number itself are always factors of the given number.

378 ÷ 1 : Remainder = 0

378 ÷ 2 : Remainder = 0

378 ÷ 3 : Remainder = 0

378 ÷ 6 : Remainder = 0

378 ÷ 7 : Remainder = 0

378 ÷ 9 : Remainder = 0

378 ÷ 14 : Remainder = 0

378 ÷ 18 : Remainder = 0

378 ÷ 21 : Remainder = 0

378 ÷ 27 : Remainder = 0

378 ÷ 42 : Remainder = 0

378 ÷ 54 : Remainder = 0

378 ÷ 63 : Remainder = 0

378 ÷ 126 : Remainder = 0

378 ÷ 189 : Remainder = 0

378 ÷ 378 : Remainder = 0

Hence, Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, and 378

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. 378 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, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378 are exact divisors of 378.
1 is the common and smallest natural factor every number can have.
Every number is a factor of zero (0), since 378 x 0 = 0.

Examples

How many factors are there for 378?

Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.
So there are in total 16 factors.

Raju wishes to write all the prime factors of 378. Can you assist him in doing the same?

Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.
Prime factors of 378 are 2, 3, 3, 3, 7.

Can you assist Aubrey in finding factors of 378 that add upto 27?

Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.
Factors of 378 that add upto 27 are 1, 2, 3, 21, as 1 + 2 + 3 + 21 = 27.

Can you help Diji in finding sum of all even factors of 378?

Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.
Even factors of 378 are 2, 6, 14, 18, 42, 54, 126, 378.
Hence, sum of even factors of 378 is; 2 + 6 + 14 + 18 + 42 + 54 + 126 + 378 = 640.

Rustom is wondering to find the factors of 378 that add upto 27, but is stuck. Assist Rustom in writing the same.

Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.
Factors of 378 that add upto 27 are 1, 2, 3, 21, as 1 + 2 + 3 + 21 = 27.

What are the negative pair factors of 378?

Negative factors of 378 are -1, -2, -3, -6, -7, -9, -14, -18, -21, -27, -42, -54, -63, -126, -189, -378. Hence, factors of 378 in pair are (-1,-378), (-2,-189), (-3,-126), (-6,-63), (-7,-54), (-9,-42), (-14,-27), (-18,-21).

Help Rudolph in finding the product of factors of 378?

Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.
Therefore, product of factors of 378 is; 1 x 2 x 3 x 6 x 7 x 9 x 14 x 18 x 21 x 27 x 42 x 54 x 63 x 126 x 189 x 378 = 416806419029812600000.

Factors of 378 that add upto 27

How to find factors of 378 that add upto 27