Express, in index notation, 150 as a product of its prime factors, using a factor tree.

Answer 1

To express 150 as a product of its prime factors using a factor tree, we start by dividing 150 by its smallest prime factor, which is 2.

150 ÷ 2 = 75

Next, we divide 75 by its smallest prime factor, which is 3.

75 ÷ 3 = 25

Now, 25 is already a square number, so we stop here because we cannot divide it any further. Therefore, the prime factorization of 150 is:
150 = 2 * 3 * 5 * 5, or in index notation:

150 = 2^1 * 3^1 * 5^2