Find the total number of factors of 462

To find the total number of factors of 462, we first need to find the prime factorization of 462.

Step 1: Prime factorization of 462 The prime factorization of 462 is 2 * 3 * 7 * 11.

Step 2: Count the number of times each prime number appears in the factorization In the prime factorization of 462, 2 appears once, 3 appears once, 7 appears once, and 11 appears once.

Step 3: Add 1 to each of the counts Adding 1 to each of the counts gives us 2, 2, 2, and 2.

Step 4: Multiply the numbers obtained in step 3 Multiplying these numbers together gives us 2 * 2 * 2 * 2 = 16.

So, 462 has 16 factors.