Factors of 840 that add upto 22

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Factors of 840 that add upto 22 are 1 and 21

How to find factors of 840 that add upto 22

Steps to find factors of 840 that add upto 22

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 22, and read off the answer!

Example: Find factors of 840 that add upto 22

Sum of 1 and 21 : 1 + 21 = 22

Hence, factors of 840 that add upto 22 are 1 and 21.

Steps to find Factors of 840

Step 1. Find all the numbers that would divide 840 without leaving any remainder. Starting with the number 1 upto 420 (half of 840). The number 1 and the number itself are always factors of the given number.

840 ÷ 1 : Remainder = 0

840 ÷ 2 : Remainder = 0

840 ÷ 3 : Remainder = 0

840 ÷ 4 : Remainder = 0

840 ÷ 5 : Remainder = 0

840 ÷ 6 : Remainder = 0

840 ÷ 7 : Remainder = 0

840 ÷ 8 : Remainder = 0

840 ÷ 10 : Remainder = 0

840 ÷ 12 : Remainder = 0

840 ÷ 14 : Remainder = 0

840 ÷ 15 : Remainder = 0

840 ÷ 20 : Remainder = 0

840 ÷ 21 : Remainder = 0

840 ÷ 24 : Remainder = 0

840 ÷ 28 : Remainder = 0

840 ÷ 30 : Remainder = 0

840 ÷ 35 : Remainder = 0

840 ÷ 40 : Remainder = 0

840 ÷ 42 : Remainder = 0

840 ÷ 56 : Remainder = 0

840 ÷ 60 : Remainder = 0

840 ÷ 70 : Remainder = 0

840 ÷ 84 : Remainder = 0

840 ÷ 105 : Remainder = 0

840 ÷ 120 : Remainder = 0

840 ÷ 140 : Remainder = 0

840 ÷ 168 : Remainder = 0

840 ÷ 210 : Remainder = 0

840 ÷ 280 : Remainder = 0

840 ÷ 420 : Remainder = 0

840 ÷ 840 : Remainder = 0

Hence, Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840

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 840 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, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840 are exact divisors of 840.

Examples

How many factors are there for 840?

Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840.
So there are in total 32 factors.

Raju wishes to write all the prime factors of 840. Can you assist him in doing the same?

Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840.
Prime factors of 840 are 2, 2, 2, 3, 5, 7.

Can you assist Aubrey in finding factors of 840 that add upto 22?

Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840.
Factors of 840 that add upto 22 are 1, 21, as 1 + 21 = 22.

Can you help Diji in finding sum of all even factors of 840?

Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840.
Even factors of 840 are 2, 4, 6, 8, 10, 12, 14, 20, 24, 28, 30, 40, 42, 56, 60, 70, 84, 120, 140, 168, 210, 280, 420, 840.
Hence, sum of even factors of 840 is; 2 + 4 + 6 + 8 + 10 + 12 + 14 + 20 + 24 + 28 + 30 + 40 + 42 + 56 + 60 + 70 + 84 + 120 + 140 + 168 + 210 + 280 + 420 + 840 = 2688.

Rustom is wondering to find the factors of 840 that add upto 22, but is stuck. Assist Rustom in writing the same.

What are the negative pair factors of 840?

Negative factors of 840 are -1, -2, -3, -4, -5, -6, -7, -8, -10, -12, -14, -15, -20, -21, -24, -28, -30, -35, -40, -42, -56, -60, -70, -84, -105, -120, -140, -168, -210, -280, -420, -840. Hence, factors of 840 in pair are (-1,-840), (-2,-420), (-3,-280), (-4,-210), (-5,-168), (-6,-140), (-7,-120), (-8,-105), (-10,-84), (-12,-70), (-14,-60), (-15,-56), (-20,-42), (-21,-40), (-24,-35), (-28,-30).

Help Rudolph in finding the product of factors of 840?

Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840.
Therefore, product of factors of 840 is; 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 10 x 12 x 14 x 15 x 20 x 21 x 24 x 28 x 30 x 35 x 40 x 42 x 56 x 60 x 70 x 84 x 105 x 120 x 140 x 168 x 210 x 280 x 420 x 840 = 6.144245739270881e+46.