6th grade · Math · Unit 1 of 17
Facts & Factors
Facts, primes, GCF and LCM
What your child practices
Quick recall of multiplication and division facts, plus factors, multiples and prime numbers, the greatest common factor (GCF) and least common multiple (LCM), and word problems that use them.
Alaska content standards learning standard: 6.NS.4 · greatest common factor and least common multiple
How we explain it
Children can open this short lesson before they practice.
- A factor divides a number evenly. 3 and 4 are factors of 12.
- The greatest common factor (GCF) is the biggest factor two numbers share.
- The least common multiple (LCM) is the smallest multiple they share.
Example: Find the GCF of 12 and 18. Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. The biggest shared one is 6. Answer: 6
Facts & Factors in Alaska
In the Alaska content standards, this is unit 1 of 17 in 6th grade Math, before Mixed Numbers & Ratios.
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 of these numbers is prime?
- 49
- 27
- 43
- 51
43
Hint: A prime number has exactly two factors: 1 and itself. Test each number by dividing by 2, 3, 5 and 7. For example, 27 = 3 × 9, so 27 is not prime.
Question 2
What is 21 ÷ 3?
21 ÷ 3 = ?
answer box
7
Hint: Think multiplication: 3 × ? = 21. Which fact do you know?
Question 3
What is the greatest common factor (GCF) of 28 and 20?
answer box
4
Hint: List the factors of each number. The GCF is the biggest number that appears in both lists.
Question 4
Which number is a multiple of 9?
- 82
- 84
- 81
- 79
81
Hint: A multiple of 9 is in the 9 times table: 9 × 1, 9 × 2, 9 × 3, and so on. Check which choice divides by 9 with nothing left over.
Question 5
What number goes in the box?
4 × = 28
- 5
- 6
- 7
- 8
7
Hint: Divide to find a missing factor: 28 ÷ 4.
Question 6
What is 9 × 5?
9 × 5 = ?
answer box
45
Hint: Use tens: 5 × 10 = 50, then take away one 5.