Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, and 972
Hence, Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, and 972
A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.
There are two different methods that can be used for the prime factorization.
To find the primefactors of 972 using the division method, follow these steps:
So, the prime factorization of 972 is, 972 = 2 x 2 x 3 x 3 x 3 x 3 x 3.
We can follow the same procedure using the factor tree of 972 as shown below:
So, the prime factorization of 972 is, 972 = 2 x 2 x 3 x 3 x 3 x 3 x 3.
Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 972 would be the two numbers which, when multiplied, give 972 as the result.
The following table represents the calculation of factors of 972 in pairs:
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 972 | 1 x 972 = 972 |
| 2 and 486 | 2 x 486 = 972 |
| 3 and 324 | 3 x 324 = 972 |
| 4 and 243 | 4 x 243 = 972 |
| 6 and 162 | 6 x 162 = 972 |
| 9 and 108 | 9 x 108 = 972 |
| 12 and 81 | 12 x 81 = 972 |
| 18 and 54 | 18 x 54 = 972 |
| 27 and 36 | 27 x 36 = 972 |
Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 972. They are called negative pair factors.
Hence, the negative pairs of 972 would be ( -1 , -972 ) , ( -2 , -486 ) , ( -3 , -324 ) , ( -4 , -243 ) , ( -6 , -162 ) , ( -9 , -108 ) , ( -12 , -81 ) , ( -18 , -54 ) and ( -27 , -36 ) .
In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.
Smallest prime factor of 972 is 2.
No 972 is not a perfect square.
First five multiples of 972 are 1944, 2916, 3888, 4860, 5832.
Prime factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3.
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 are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -243, -324, -486, -972.
Yes 972 is a whole number.
The greatest factor of 972 is 486.
The 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.
Prime factors of 972 are 2, 2, 3, 3, 3, 3, 3.Hence, the product of prime factors of 6.
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, product of even factors of 972 is; 2 x 4 x 6 x 12 x 18 x 36 x 54 x 108 x 162 x 324 x 486 x 972 = 53973124931819670000.
Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972.To calculate the mean we need to calculate the sum of factors first. Sum of factors of 972 is 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 54 + 81 + 108 + 162 + 243 + 324 + 486 + 972 = 2548.Hence, the mean of factors of 972 is 2548 ÷ 18 = 141.56.
Positive factors are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. Negative factors are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -243, -324, -486, -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.
Prime factors of 972 are 2, 2, 3, 3, 3, 3, 3.So in exponential form it can be written as 22 x 35.
17 factor(s) of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486.