Find factors of 210 that add upto 29

Steps to find factors of 210 that add upto 29

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 29, and read off the answer!

Example: Find factors of 210 that add upto 29

Sum of 1, 7, and 21 : 1 + 7 + 21 = 29

Hence, factors of 210 that add upto 29 are 1, 7, and 21.

Steps to find Factors of 210

Step 1. Find all the numbers that would divide 210 without leaving any remainder. Starting with the number 1 upto 105 (half of 210). The number 1 and the number itself are always factors of the given number.

210 ÷ 1 : Remainder = 0

210 ÷ 2 : Remainder = 0

210 ÷ 3 : Remainder = 0

210 ÷ 5 : Remainder = 0

210 ÷ 6 : Remainder = 0

210 ÷ 7 : Remainder = 0

210 ÷ 10 : Remainder = 0

210 ÷ 14 : Remainder = 0

210 ÷ 15 : Remainder = 0

210 ÷ 21 : Remainder = 0

210 ÷ 30 : Remainder = 0

210 ÷ 35 : Remainder = 0

210 ÷ 42 : Remainder = 0

210 ÷ 70 : Remainder = 0

210 ÷ 105 : Remainder = 0

210 ÷ 210 : Remainder = 0

Hence, Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210

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. 210 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, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 are exact divisors of 210.
1 is the common and smallest natural factor every number can have.
Every number is a factor of zero (0), since 210 x 0 = 0.

Examples

How many factors are there for 210?

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
So there are in total 16 factors.

Raju wishes to write all the prime factors of 210. Can you assist him in doing the same?

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
Prime factors of 210 are 2, 3, 5, 7.

Can you assist Aubrey in finding factors of 210 that add upto 29?

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
Factors of 210 that add upto 29 are 1, 7, 21, as 1 + 7 + 21 = 29.

Can you help Diji in finding sum of all even factors of 210?

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
Even factors of 210 are 2, 6, 10, 14, 30, 42, 70, 210.
Hence, sum of even factors of 210 is; 2 + 6 + 10 + 14 + 30 + 42 + 70 + 210 = 384.

Rustom is wondering to find the factors of 210 that add upto 29, but is stuck. Assist Rustom in writing the same.

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
Factors of 210 that add upto 29 are 1, 7, 21, as 1 + 7 + 21 = 29.

What are the negative pair factors of 210?

Negative factors of 210 are -1, -2, -3, -5, -6, -7, -10, -14, -15, -21, -30, -35, -42, -70, -105, -210. Hence, factors of 210 in pair are (-1,-210), (-2,-105), (-3,-70), (-5,-42), (-6,-35), (-7,-30), (-10,-21), (-14,-15).

Help Rudolph in finding the product of factors of 210?

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
Therefore, product of factors of 210 is; 1 x 2 x 3 x 5 x 6 x 7 x 10 x 14 x 15 x 21 x 30 x 35 x 42 x 70 x 105 x 210 = 3782285936100000000.

Factors of 210 that add upto 29

How to find factors of 210 that add upto 29