Express the following numbers as prime factors in index form.

Here are the solutions to your questions:

1. Express the following numbers as prime factors in index form.

• a) 2646

  Step 1: Divide 2646 by the smallest prime number, 2.

  $$2646 = 2 \times 1323$$

  Step 2: Divide 1323 by the smallest prime factor, 3.

  $$1323 = 3 \times 441$$

  Step 3: Divide 441 by 3.

  $$441 = 3 \times 147$$

  Step 4: Divide 147 by 3.

  $$$$