Factors of 1008 that add upto 38

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Factors of 1008 that add upto 38 are 2 and 36

How to find factors of 1008 that add upto 38

Steps to find factors of 1008 that add upto 38

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 38, and read off the answer!

Example: Find factors of 1008 that add upto 38

Sum of 2 and 36 : 2 + 36 = 38

Hence, factors of 1008 that add upto 38 are 2 and 36.

Steps to find Factors of 1008

Step 1. Find all the numbers that would divide 1008 without leaving any remainder. Starting with the number 1 upto 504 (half of 1008). The number 1 and the number itself are always factors of the given number.

1008 ÷ 1 : Remainder = 0

1008 ÷ 2 : Remainder = 0

1008 ÷ 3 : Remainder = 0

1008 ÷ 4 : Remainder = 0

1008 ÷ 6 : Remainder = 0

1008 ÷ 7 : Remainder = 0

1008 ÷ 8 : Remainder = 0

1008 ÷ 9 : Remainder = 0

1008 ÷ 12 : Remainder = 0

1008 ÷ 14 : Remainder = 0

1008 ÷ 16 : Remainder = 0

1008 ÷ 18 : Remainder = 0

1008 ÷ 21 : Remainder = 0

1008 ÷ 24 : Remainder = 0

1008 ÷ 28 : Remainder = 0

1008 ÷ 36 : Remainder = 0

1008 ÷ 42 : Remainder = 0

1008 ÷ 48 : Remainder = 0

1008 ÷ 56 : Remainder = 0

1008 ÷ 63 : Remainder = 0

1008 ÷ 72 : Remainder = 0

1008 ÷ 84 : Remainder = 0

1008 ÷ 112 : Remainder = 0

1008 ÷ 126 : Remainder = 0

1008 ÷ 144 : Remainder = 0

1008 ÷ 168 : Remainder = 0

1008 ÷ 252 : Remainder = 0

1008 ÷ 336 : Remainder = 0

1008 ÷ 504 : Remainder = 0

1008 ÷ 1008 : Remainder = 0

Hence, Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, and 1008

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 1008 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, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008 are exact divisors of 1008.

Examples

How many factors are there for 1008?

Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.
So there are in total 30 factors.

Raju wishes to write all the prime factors of 1008. Can you assist him in doing the same?

Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.
Prime factors of 1008 are 2, 2, 2, 2, 3, 3, 7.

Can you assist Aubrey in finding factors of 1008 that add upto 38?

Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.
Factors of 1008 that add upto 38 are 2, 36, as 2 + 36 = 38.

Can you help Diji in finding sum of all even factors of 1008?

Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.
Even factors of 1008 are 2, 4, 6, 8, 12, 14, 16, 18, 24, 28, 36, 42, 48, 56, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.
Hence, sum of even factors of 1008 is; 2 + 4 + 6 + 8 + 12 + 14 + 16 + 18 + 24 + 28 + 36 + 42 + 48 + 56 + 72 + 84 + 112 + 126 + 144 + 168 + 252 + 336 + 504 + 1008 = 3120.

Rustom is wondering to find the factors of 1008 that add upto 38, but is stuck. Assist Rustom in writing the same.

What are the negative pair factors of 1008?

Negative factors of 1008 are -1, -2, -3, -4, -6, -7, -8, -9, -12, -14, -16, -18, -21, -24, -28, -36, -42, -48, -56, -63, -72, -84, -112, -126, -144, -168, -252, -336, -504, -1008. Hence, factors of 1008 in pair are (-1,-1008), (-2,-504), (-3,-336), (-4,-252), (-6,-168), (-7,-144), (-8,-126), (-9,-112), (-12,-84), (-14,-72), (-16,-63), (-18,-56), (-21,-48), (-24,-42), (-28,-36).

Help Rudolph in finding the product of factors of 1008?

Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.
Therefore, product of factors of 1008 is; 1 x 2 x 3 x 4 x 6 x 7 x 8 x 9 x 12 x 14 x 16 x 18 x 21 x 24 x 28 x 36 x 42 x 48 x 56 x 63 x 72 x 84 x 112 x 126 x 144 x 168 x 252 x 336 x 504 x 1008 = 1.1269586507679386e+45.