Factors of 504 that add upto 45

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Factors of 504 that add upto 45 are 1, 2, and 42

How to find factors of 504 that add upto 45

Steps to find factors of 504 that add upto 45

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 45, and read off the answer!

Example: Find factors of 504 that add upto 45

Sum of 1, 2, and 42 : 1 + 2 + 42 = 45

Hence, factors of 504 that add upto 45 are 1, 2, and 42.

Steps to find Factors of 504

Step 1. Find all the numbers that would divide 504 without leaving any remainder. Starting with the number 1 upto 252 (half of 504). The number 1 and the number itself are always factors of the given number.

504 ÷ 1 : Remainder = 0

504 ÷ 2 : Remainder = 0

504 ÷ 3 : Remainder = 0

504 ÷ 4 : Remainder = 0

504 ÷ 6 : Remainder = 0

504 ÷ 7 : Remainder = 0

504 ÷ 8 : Remainder = 0

504 ÷ 9 : Remainder = 0

504 ÷ 12 : Remainder = 0

504 ÷ 14 : Remainder = 0

504 ÷ 18 : Remainder = 0

504 ÷ 21 : Remainder = 0

504 ÷ 24 : Remainder = 0

504 ÷ 28 : Remainder = 0

504 ÷ 36 : Remainder = 0

504 ÷ 42 : Remainder = 0

504 ÷ 56 : Remainder = 0

504 ÷ 63 : Remainder = 0

504 ÷ 72 : Remainder = 0

504 ÷ 84 : Remainder = 0

504 ÷ 126 : Remainder = 0

504 ÷ 168 : Remainder = 0

504 ÷ 252 : Remainder = 0

504 ÷ 504 : Remainder = 0

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

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 504 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, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504 are exact divisors of 504.

Examples

How many factors are there for 504?

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

Raju wishes to write all the prime factors of 504. Can you assist him in doing the same?

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

Can you assist Aubrey in finding factors of 504 that add upto 45?

Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.
Factors of 504 that add upto 45 are 1, 2, 42, as 1 + 2 + 42 = 45.

Can you help Diji in finding sum of all even factors of 504?

Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.
Even factors of 504 are 2, 4, 6, 8, 12, 14, 18, 24, 28, 36, 42, 56, 72, 84, 126, 168, 252, 504.
Hence, sum of even factors of 504 is; 2 + 4 + 6 + 8 + 12 + 14 + 18 + 24 + 28 + 36 + 42 + 56 + 72 + 84 + 126 + 168 + 252 + 504 = 1456.

Rustom is wondering to find the factors of 504 that add upto 45, but is stuck. Assist Rustom in writing the same.

Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.
Factors of 504 that add upto 45 are 1, 2, 42, as 1 + 2 + 42 = 45.

What are the negative pair factors of 504?

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

Help Rudolph in finding the product of factors of 504?

Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.
Therefore, product of factors of 504 is; 1 x 2 x 3 x 4 x 6 x 7 x 8 x 9 x 12 x 14 x 18 x 21 x 24 x 28 x 36 x 42 x 56 x 63 x 72 x 84 x 126 x 168 x 252 x 504 = 2.686373763955436e+32.