Maryland Math 4.NOS.C.8.b

Math4th GradeNumber and Operation Sense

The Standard

4.NOS.C.8: Explain and apply concepts of factors, multiples, and prime and composite numbers for whole numbers in the range of 1-100.

Determine whether a given whole number in the range of 1–100 is a multiple of a one-digit number.

Maryland College and Career Ready Standards for Mathematics (2025) · GAIN FAMILIARITY WITH FACTORS AND MULTIPLES.

Teacher's field guide

What Students Need to Do: Students decide whether a number from 1 to 100 can be made with equal groups of a given number from 1 to 9. They check by multiplying, skip counting, or dividing.
What Mastery Looks Like: A student says 56 is a multiple of 8 because 8 × 7 = 56. They say 58 is not because it falls between 8 × 7 and 8 × 8.
Common Misconceptions: Students may say 7 is a multiple of 42 because 7 divides 42. They may also count a number as a multiple when making equal groups leaves some items over.
How to Assess It: Exit ticket: Is 54 a multiple of 6? Is 55? Write a multiplication fact or draw equal groups to explain each answer.

Lesson moves

Give pairs 30 counters to arrange in groups of 4, then 5, and record whether 30 is a multiple of each number.
Ask, “Why is 42 a multiple of 7 but not 8?” Have students write two multiplication facts to explain.
On a 1–100 chart, partners circle multiples of 6 and take turns proving three choices with multiplication facts.
Ask whether 42 eggs fill cartons of 6 with none left over, then repeat with 43 eggs.

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