Factors of 2100 that add upto 100

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Factors of 2100 that add upto 100 are 1, 15, and 84

How to find factors of 2100 that add upto 100

Steps to find factors of 2100 that add upto 100

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 100, and read off the answer!

Example: Find factors of 2100 that add upto 100

Sum of 1, 15, and 84 : 1 + 15 + 84 = 100

Hence, factors of 2100 that add upto 100 are 1, 15, and 84.

Steps to find Factors of 2100

Step 1. Find all the numbers that would divide 2100 without leaving any remainder. Starting with the number 1 upto 1050 (half of 2100). The number 1 and the number itself are always factors of the given number.

2100 ÷ 1 : Remainder = 0

2100 ÷ 2 : Remainder = 0

2100 ÷ 3 : Remainder = 0

2100 ÷ 4 : Remainder = 0

2100 ÷ 5 : Remainder = 0

2100 ÷ 6 : Remainder = 0

2100 ÷ 7 : Remainder = 0

2100 ÷ 10 : Remainder = 0

2100 ÷ 12 : Remainder = 0

2100 ÷ 14 : Remainder = 0

2100 ÷ 15 : Remainder = 0

2100 ÷ 20 : Remainder = 0

2100 ÷ 21 : Remainder = 0

2100 ÷ 25 : Remainder = 0

2100 ÷ 28 : Remainder = 0

2100 ÷ 30 : Remainder = 0

2100 ÷ 35 : Remainder = 0

2100 ÷ 42 : Remainder = 0

2100 ÷ 50 : Remainder = 0

2100 ÷ 60 : Remainder = 0

2100 ÷ 70 : Remainder = 0

2100 ÷ 75 : Remainder = 0

2100 ÷ 84 : Remainder = 0

2100 ÷ 100 : Remainder = 0

2100 ÷ 105 : Remainder = 0

2100 ÷ 140 : Remainder = 0

2100 ÷ 150 : Remainder = 0

2100 ÷ 175 : Remainder = 0

2100 ÷ 210 : Remainder = 0

2100 ÷ 300 : Remainder = 0

2100 ÷ 350 : Remainder = 0

2100 ÷ 420 : Remainder = 0

2100 ÷ 525 : Remainder = 0

2100 ÷ 700 : Remainder = 0

2100 ÷ 1050 : Remainder = 0

2100 ÷ 2100 : Remainder = 0

Hence, Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, and 2100

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 2100 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, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100 are exact divisors of 2100.

Examples

How many factors are there for 2100?

Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.
So there are in total 36 factors.

Raju wishes to write all the prime factors of 2100. Can you assist him in doing the same?

Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.
Prime factors of 2100 are 2, 2, 3, 5, 5, 7.

Can you assist Aubrey in finding factors of 2100 that add upto 100?

Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.
Factors of 2100 that add upto 100 are 1, 15, 84, as 1 + 15 + 84 = 100.

Can you help Diji in finding sum of all even factors of 2100?

Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.
Even factors of 2100 are 2, 4, 6, 10, 12, 14, 20, 28, 30, 42, 50, 60, 70, 84, 100, 140, 150, 210, 300, 350, 420, 700, 1050, 2100.
Hence, sum of even factors of 2100 is; 2 + 4 + 6 + 10 + 12 + 14 + 20 + 28 + 30 + 42 + 50 + 60 + 70 + 84 + 100 + 140 + 150 + 210 + 300 + 350 + 420 + 700 + 1050 + 2100 = 5952.

Rustom is wondering to find the factors of 2100 that add upto 100, but is stuck. Assist Rustom in writing the same.

What are the negative pair factors of 2100?

Negative factors of 2100 are -1, -2, -3, -4, -5, -6, -7, -10, -12, -14, -15, -20, -21, -25, -28, -30, -35, -42, -50, -60, -70, -75, -84, -100, -105, -140, -150, -175, -210, -300, -350, -420, -525, -700, -1050, -2100. Hence, factors of 2100 in pair are (-1,-2100), (-2,-1050), (-3,-700), (-4,-525), (-5,-420), (-6,-350), (-7,-300), (-10,-210), (-12,-175), (-14,-150), (-15,-140), (-20,-105), (-21,-100), (-25,-84), (-28,-75), (-30,-70), (-35,-60), (-42,-50).

Help Rudolph in finding the product of factors of 2100?

Factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.
Therefore, product of factors of 2100 is; 1 x 2 x 3 x 4 x 5 x 6 x 7 x 10 x 12 x 14 x 15 x 20 x 21 x 25 x 28 x 30 x 35 x 42 x 50 x 60 x 70 x 75 x 84 x 100 x 105 x 140 x 150 x 175 x 210 x 300 x 350 x 420 x 525 x 700 x 1050 x 2100 = 6.308807923967157e+59.