4th grade · Math · Unit 12 of 15
Prime & Composite
Count factors to sort numbers into prime and composite
What your child practices
A prime number has exactly two factors, 1 and itself (like 7). A composite number has more than two (like 12). 1 is neither. Children find factors with multiplication and division facts.
Alaska content standards learning standard: 4.OA.4 · finding factor pairs and telling prime from composite numbers
How we explain it
Children can open this short lesson before they practice.
- A factor divides a number with none left over.
- A prime number has exactly 2 factors: 1 and itself.
- A composite number has more than 2 factors.
Example: Is 22 prime or composite? 22 ÷ 2 = 11, so 2 is a factor. It has more than 2 factors. Answer: Composite
Prime & Composite in Alaska
In the Alaska content standards, this is unit 12 of 15 in 4th grade Math, after Metric Measures and before Feet, Pounds & Gallons.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Alaska Department of Education and Early Development
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Which number is a factor of 38?
- 36
- 19
- 24
- 18
19
Hint: A factor divides 38 with nothing left over. 19 × 2 = 38.
Question 2
Which is the only even prime number?
- 2
- 8
- 6
- 4
2
Hint: Every other even number is divisible by 2, so it has at least three factors.
Question 3
Which number is composite?
- 7
- 21
- 31
- 11
21
Hint: A composite number has more than two factors. 21 has factors 1, 3, 7, 21.
Question 4
How many factors does 12 have?
- 11
- 6
- 8
6
Hint: List the factors in pairs: 1, 2, 3, 4, 6, 12.
Question 5
Which number is prime?
- 27
- 39
- 3
- 9
3
Hint: A prime number has only two factors: 1 and itself. 39 has factors 1, 3, 13, 39.
Question 6
Is 45 prime or composite?
- neither prime nor composite
- prime
- composite
composite
Hint: 45 has more than two factors (1, 3, 5, 9, 15, 45), so it is composite.