Question

Express 972 in the exponential form using prime factors ​

Answer 1

Step-by-step explanation:

The sum of all factors of 972 is 2548.

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

Prime Factors of 972: 2, 3.

Prime Factorization of 972: 22 × 35

Sum of Factors of 972: 2548.

Answer 2

Given:

972

To Find:

Express in the exponential form using prime factors ​

Solution:

It is given that we have to convert the number 972 into exponential using prime factors, we call this prime factorization in which we express in terms of subsequent prime number with any power on it, which can be used in various properties and also is used to find the LCM and HCF,

First, we will start dividing the numbers with subsequently prime numbers which will be expressed as,

972=2*2*3*3*3*3*3

Now we can express it in power by how many times the prime number has appeared,

$972=2^2*3^5$

Hence, 972 into an exponential form using prime numbers is 2^2*3^5.