Factors of 420 that add upto 41

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Factors of 420 that add upto 41 are 1, 5, and 35

How to find factors of 420 that add upto 41

Steps to find factors of 420 that add upto 41

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 41, and read off the answer!

Example: Find factors of 420 that add upto 41

Sum of 1, 5, and 35 : 1 + 5 + 35 = 41

Hence, factors of 420 that add upto 41 are 1, 5, and 35.

Steps to find Factors of 420

Step 1. Find all the numbers that would divide 420 without leaving any remainder. Starting with the number 1 upto 210 (half of 420). The number 1 and the number itself are always factors of the given number.

420 ÷ 1 : Remainder = 0

420 ÷ 2 : Remainder = 0

420 ÷ 3 : Remainder = 0

420 ÷ 4 : Remainder = 0

420 ÷ 5 : Remainder = 0

420 ÷ 6 : Remainder = 0

420 ÷ 7 : Remainder = 0

420 ÷ 10 : Remainder = 0

420 ÷ 12 : Remainder = 0

420 ÷ 14 : Remainder = 0

420 ÷ 15 : Remainder = 0

420 ÷ 20 : Remainder = 0

420 ÷ 21 : Remainder = 0

420 ÷ 28 : Remainder = 0

420 ÷ 30 : Remainder = 0

420 ÷ 35 : Remainder = 0

420 ÷ 42 : Remainder = 0

420 ÷ 60 : Remainder = 0

420 ÷ 70 : Remainder = 0

420 ÷ 84 : Remainder = 0

420 ÷ 105 : Remainder = 0

420 ÷ 140 : Remainder = 0

420 ÷ 210 : Remainder = 0

420 ÷ 420 : Remainder = 0

Hence, Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420

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 420 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, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420 are exact divisors of 420.

Examples

How many factors are there for 420?

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

Raju wishes to write all the prime factors of 420. Can you assist him in doing the same?

Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.
Prime factors of 420 are 2, 2, 3, 5, 7.

Can you assist Aubrey in finding factors of 420 that add upto 41?

Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.
Factors of 420 that add upto 41 are 1, 5, 35, as 1 + 5 + 35 = 41.

Can you help Diji in finding sum of all even factors of 420?

Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.
Even factors of 420 are 2, 4, 6, 10, 12, 14, 20, 28, 30, 42, 60, 70, 84, 140, 210, 420.
Hence, sum of even factors of 420 is; 2 + 4 + 6 + 10 + 12 + 14 + 20 + 28 + 30 + 42 + 60 + 70 + 84 + 140 + 210 + 420 = 1152.

Rustom is wondering to find the factors of 420 that add upto 41, but is stuck. Assist Rustom in writing the same.

Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.
Factors of 420 that add upto 41 are 1, 5, 35, as 1 + 5 + 35 = 41.

What are the negative pair factors of 420?

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

Help Rudolph in finding the product of factors of 420?

Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.
Therefore, product of factors of 420 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 28 x 30 x 35 x 42 x 60 x 70 x 84 x 105 x 140 x 210 x 420 = 3.012946948663968e+31.