Answer:
2³×3²
Step-by-step explanation;
Prime Numbers are numbers which which have only two factors the number itself and one
Examples of Prime Numbers are;
2,3,5,7,11,13,17,19,23,29,etc
To Find The Prime Factorization Of The Number 72 you'll need to follow this;
72=2×36(we have the number 36 because when it's multiplied by 2 the product is 72 and 36 is not a prime number so it has to be broken down but since 2 is a prime number you leave it as it is)
72=2×2×18(we have 2×18 because because it's give us the product of 36 when multiplied so now that we have a second prime number(2) we will have to continue to break down the number 18)
72=2×2×2×9( We again have two another 2 and 9 here because when multiplied by each other its product is 18 so as we can see 9 is not a prime number so we have to break it down but the 2 is a prime number so we let it be)
72=2×2×2×3×3( As we can see here, 3 and 3 is a prime number so nothing happens to it so we have broken the non-prime numbers down so now we have all the numbers as Prime Numbers)
So; 72=2×2×2×3×3
So we are going to count the twos and threes so as you can see we have three twos and we have two threes. Which makes our final answer;
2³×3²
So The Prime Factorization of 72 is; 2³×3²
