Grade 4 Factors & Multiples: Prime and Composite

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   How many factors does 35 have?

   1. List the factor pairs of 35: 1 × 35, 5 × 7.
   2. Every number in a pair is a factor, so the factors of 35 are 1, 5, 7, 35.
   3. Count them: 35 has 4 factors. (More than two factors, so 35 is composite.)

   Answer: 4

2. Example 2

   How many factors does 46 have?

   1. List the factor pairs of 46: 1 × 46, 2 × 23.
   2. Every number in a pair is a factor, so the factors of 46 are 1, 2, 23, 46.
   3. Count them: 46 has 4 factors. (More than two factors, so 46 is composite.)

   Answer: 4

3. Example 3

   How many factors does 24 have?

   1. List the factor pairs of 24: 1 × 24, 2 × 12, 3 × 8, 4 × 6.
   2. Every number in a pair is a factor, so the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
   3. Count them: 24 has 8 factors. (More than two factors, so 24 is composite.)

   Answer: 8