Find factors of 972 that add upto 63

Steps to find factors of 972 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 972 that add upto 63

Sum of 1, 2, 6, and 54 : 1 + 2 + 6 + 54 = 63

Hence, factors of 972 that add upto 63 are 1, 2, 6, and 54.

Steps to find Factors of 972

Step 1. Find all the numbers that would divide 972 without leaving any remainder. Starting with the number 1 upto 486 (half of 972). The number 1 and the number itself are always factors of the given number.

972 ÷ 1 : Remainder = 0

972 ÷ 2 : Remainder = 0

972 ÷ 3 : Remainder = 0

972 ÷ 4 : Remainder = 0

972 ÷ 6 : Remainder = 0

972 ÷ 9 : Remainder = 0

972 ÷ 12 : Remainder = 0

972 ÷ 18 : Remainder = 0

972 ÷ 27 : Remainder = 0

972 ÷ 36 : Remainder = 0

972 ÷ 54 : Remainder = 0

972 ÷ 81 : Remainder = 0

972 ÷ 108 : Remainder = 0

972 ÷ 162 : Remainder = 0

972 ÷ 243 : Remainder = 0

972 ÷ 324 : Remainder = 0

972 ÷ 486 : Remainder = 0

972 ÷ 972 : Remainder = 0

Hence, Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, and 972

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 972 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, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972 are exact divisors of 972.

Examples

How many factors are there for 972?

Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972.
So there are in total 18 factors.

Raju wishes to write all the prime factors of 972. Can you assist him in doing the same?

Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972.
Prime factors of 972 are 2, 2, 3, 3, 3, 3, 3.

Can you assist Aubrey in finding factors of 972 that add upto 63?

Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972.
Factors of 972 that add upto 63 are 1, 2, 6, 54, as 1 + 2 + 6 + 54 = 63.

Can you help Diji in finding sum of all even factors of 972?

Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972.
Even factors of 972 are 2, 4, 6, 12, 18, 36, 54, 108, 162, 324, 486, 972.
Hence, sum of even factors of 972 is; 2 + 4 + 6 + 12 + 18 + 36 + 54 + 108 + 162 + 324 + 486 + 972 = 2184.

Help Ashi in writing the negative pair factors of 972?

Negative factors of 972 are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -243, -324, -486, -972. Hence, factors of 972 in pair are (-1,-972), (-2,-486), (-3,-324), (-4,-243), (-6,-162), (-9,-108), (-12,-81), (-18,-54), (-27,-36).

Rubel's teacher has asked her to find the factors of 972 and to write the positive factors and negative factors of 972. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. Negative factors of 972 are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -243, -324, -486, -972.

Write the correct prime factorization pattern of 972?

Correct prime factorization pattern of 972 is 2² x 3⁵.

Factors of 972 that add upto 63

How to find factors of 972 that add upto 63