Factors of 1764 that add upto 63

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Factors of 1764 that add upto 63 are 2, 12, and 49

How to find factors of 1764 that add upto 63

Steps to find factors of 1764 that add upto 63

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 63, and read off the answer!

Example: Find factors of 1764 that add upto 63

Sum of 2, 12, and 49 : 2 + 12 + 49 = 63

Hence, factors of 1764 that add upto 63 are 2, 12, and 49.

Steps to find Factors of 1764

Step 1. Find all the numbers that would divide 1764 without leaving any remainder. Starting with the number 1 upto 882 (half of 1764). The number 1 and the number itself are always factors of the given number.

1764 ÷ 1 : Remainder = 0

1764 ÷ 2 : Remainder = 0

1764 ÷ 3 : Remainder = 0

1764 ÷ 4 : Remainder = 0

1764 ÷ 6 : Remainder = 0

1764 ÷ 7 : Remainder = 0

1764 ÷ 9 : Remainder = 0

1764 ÷ 12 : Remainder = 0

1764 ÷ 14 : Remainder = 0

1764 ÷ 18 : Remainder = 0

1764 ÷ 21 : Remainder = 0

1764 ÷ 28 : Remainder = 0

1764 ÷ 36 : Remainder = 0

1764 ÷ 42 : Remainder = 0

1764 ÷ 49 : Remainder = 0

1764 ÷ 63 : Remainder = 0

1764 ÷ 84 : Remainder = 0

1764 ÷ 98 : Remainder = 0

1764 ÷ 126 : Remainder = 0

1764 ÷ 147 : Remainder = 0

1764 ÷ 196 : Remainder = 0

1764 ÷ 252 : Remainder = 0

1764 ÷ 294 : Remainder = 0

1764 ÷ 441 : Remainder = 0

1764 ÷ 588 : Remainder = 0

1764 ÷ 882 : Remainder = 0

1764 ÷ 1764 : Remainder = 0

Hence, Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, and 1764

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 1764 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, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764 are exact divisors of 1764.

Examples

How many factors are there for 1764?

Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.
So there are in total 27 factors.

Raju wishes to write all the prime factors of 1764. Can you assist him in doing the same?

Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.
Prime factors of 1764 are 2, 2, 3, 3, 7, 7.

Can you assist Aubrey in finding factors of 1764 that add upto 63?

Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.
Factors of 1764 that add upto 63 are 2, 12, 49, as 2 + 12 + 49 = 63.

Can you help Diji in finding sum of all even factors of 1764?

Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.
Even factors of 1764 are 2, 4, 6, 12, 14, 18, 28, 36, 42, 84, 98, 126, 196, 252, 294, 588, 882, 1764.
Hence, sum of even factors of 1764 is; 2 + 4 + 6 + 12 + 14 + 18 + 28 + 36 + 42 + 84 + 98 + 126 + 196 + 252 + 294 + 588 + 882 + 1764 = 4446.

Rustom is wondering to find the factors of 1764 that add upto 63, but is stuck. Assist Rustom in writing the same.

Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.
Factors of 1764 that add upto 63 are 2, 12, 49, as 2 + 12 + 49 = 63.

What are the negative pair factors of 1764?

Negative factors of 1764 are -1, -2, -3, -4, -6, -7, -9, -12, -14, -18, -21, -28, -36, -42, -49, -63, -84, -98, -126, -147, -196, -252, -294, -441, -588, -882, -1764. Hence, factors of 1764 in pair are (-1,-1764), (-2,-882), (-3,-588), (-4,-441), (-6,-294), (-7,-252), (-9,-196), (-12,-147), (-14,-126), (-18,-98), (-21,-84), (-28,-63), (-36,-49), (-42,-42).

Help Rudolph in finding the product of factors of 1764?

Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.
Therefore, product of factors of 1764 is; 1 x 2 x 3 x 4 x 6 x 7 x 9 x 12 x 14 x 18 x 21 x 28 x 36 x 42 x 49 x 63 x 84 x 98 x 126 x 147 x 196 x 252 x 294 x 441 x 588 x 882 x 1764 = 6.72559700084061e+43.