SME
Grade 4 Math · Problem type
Identify multiples
Use this for “Is 27 a multiple of 4?” or “Is 40 a multiple of 8?”
Chart
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Numbers 1 to 100.
Number to test 40 (in a box).
Multiples of 8 (shaded).
This is an example. Type your own values to start a new problem.
Number to test
÷
One-digit number
=
Quotient
remainder
Remainder
Formulas
40 ÷ 8 → 5 whole groups
Number to test ÷ one-digit number = quotient, with a remainder
left over when 40 is shared by 8 = 0
What is left after the whole groups = remainder
Assumptions
•
A multiple of 8 is 8 times a whole number: 8, 16, 24, 32 and so on.
•
To check, divide. A remainder of 0 means it is a multiple.
•
The chart shades every multiple and outlines the number you test. Past 100 it shows the hundred the number is in (601 to 700).
Step-by-step
WE KNOW
One-digit number: 8
Number to test: 40
FIND
quotient, remainder
Step 1 · Find quotient
40 ÷ 8 → ? whole groups
Number to test ÷ one-digit number = quotient, with a remainder
Divide by the one-digit number. Use a times fact you know.
5 × 8 = 40
Quotient = 5
Step 2 · Find remainder
left over when 40 is shared by 8 = ?
What is left after the whole groups = remainder
The remainder is what the whole groups leave.
40 − 40 = 0
Remainder = 0 (remainder 0: 40 is a multiple of 8)
Check
Put the numbers back in. Both sides should match.
40 ÷ 8 → 5 whole groups ✓
left over when 40 is shared by 8 = 0 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
Refresh
Nothing to review first. This is a starting point.
Related lessons
Factors, multiples and patterns
Main lesson
Number patterns
Use this for “Start at 3 and add 5 each time: 3, 8, 13, … What is the 5th number?”
Number patterns: find the rule
Use this for “What comes next? Write the rule” when a pattern adds, multiplies or takes turns between two steps.
Prime and composite numbers
Use this to sort numbers as prime or composite by their factors.
Shape patterns
Use this for “Circle, square, triangle, circle, square, … What is the 10th shape?”