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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.

Maine Learning Results learning standard: 6.NS.B.4 · greatest common factor and least common multiple

How we explain it

Children can open this short lesson before they practice.

  1. A factor divides a number evenly. 3 and 4 are factors of 12.
  2. The greatest common factor (GCF) is the biggest factor two numbers share.
  3. 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 Maine

In the Maine Learning Results, 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: Maine Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Which number is a factor of 36?

    • 7
    • 11
    • 14
    • 2

  2. Question 2

    What is the greatest common factor (GCF) of 40 and 56?

    answer box

  3. Question 3

    Jay has 49 granola bars and 28 juice boxes. Jay wants to pack them into identical bags with nothing left over. What is the greatest number of bags Jay can make?

    • 10
    • 28
    • 7
    • 4

  4. Question 4

    What is 5 × 3?

    5 × 3 = ?

    answer box

  5. Question 5

    What is 63 ÷ 9?

    63 ÷ 9 = ?

    answer box

  6. Question 6

    Which of these numbers is prime?

    • 57
    • 53
    • 39
    • 33

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