Question

Express 900 as a product of its prime factors im index form ​

Answer 1

Step-by-step explanation: Divide by successive primes:

900 / 2 = 450

450 / 2 = 225

225 / 3 = 75

75 / 3 = 25

25 / 5 = 5

5 / 5 = 1

Write down the prime factors:

2 × 2 × 3 × 3 × 5 × 5

Write them in index form:

2² × 3² × 5²

Answer 2

2∧2 . 3∧2 . 5∧2

Explanation:

First of all, it is important to divide the number by the minimum possible divisors until getting 1 as a result

900 ÷ 2 = 450

450 ÷ 2 = 225

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Then the prime factors of 900 are 2 . 2 . 3 . 3 . 5 . 5 or 2∧2 . 3∧2 . 5∧2 because 2∧2 = 4 ; 3∧2 = 9 ; 5∧2 = 25 , and 4 . 9 . 25 = 900