The question
Question: is 348 divisible by 2?
Is 348 divisible by 2?
Divisible means it goes in exactly, with nothing left over.
divisible: no remainder
1 Look at the last digit
= 348
348 is 34 tens and 8.
2 goes into 10, so into every ten.
Only the last digit is left to check.
34 tens + 8
For 2: is it even: 0, 2, 4, 6 or 8?
The last digit is 8.
So yes.
= ÷ 2: last digit 0, 2, 4, 6, 8? 8 → yes ✓
2 Write the answer
So 348 is divisible by 2.
= yes: 348 ÷ 2 has no remainder
3 Check
Let's check by dividing.
348 divided by 2 is 174, nothing left over.
348 ÷ 2 = 174
The tests were right!
Let's look back.
First: look at the last digit.
Then: write the answer.
Last: check.
Answer = yes: 348 ÷ 2 has no remainder
▶ Watch it solved
The question
Question: is 2736 divisible by 9?
Is 2736 divisible by 9?
Divisible means it goes in exactly, with nothing left over.
divisible: no remainder
1 Add the digits
We add the digits: 2 + 7 + 3 + 6 is 18.
= 2 + 7 + 3 + 6 = 18
Why add the digits?
Each ten is 9 and 1 more.
Each hundred is 99 and 1 more.
3 and 9 go into the 9s and 99s.
What is left over is the sum of the digits.
10 = 9 + 1, 100 = 99 + 1
For 9: 18 divided by 9 is 2, nothing left over.
So 9 goes into 2736.
= ÷ 9: 18 ÷ 9 = 2 → yes ✓
2 Write the answer
So 2736 is divisible by 9.
= yes: 2736 ÷ 9 has no remainder
3 Check
Let's check by dividing.
2736 divided by 9 is 304, nothing left over.
2736 ÷ 9 = 304
The tests were right!
Let's look back.
First: add the digits.
Then: write the answer.
Last: check.
Answer = yes: 2736 ÷ 9 has no remainder
▶ Watch it solved
The question
Question: is 1290 divisible by 2, 3, 4, 5, 6, 9 and 10?
Divisible means it goes in exactly, with nothing left over.
Is 1290 divisible by 2, 3, 4, 5, 6, 9 and 10?
1 Look at the last digit
= 1290
1290 is 129 tens and 0.
2, 5 and 10 all go into 10, so into every ten.
Only the last digit is left to check.
129 tens + 0
For 2: is it even: 0, 2, 4, 6 or 8?
The last digit is 0.
So yes.
= ÷ 2: last digit 0, 2, 4, 6, 8? 0 → yes ✓
For 5: is it 0 or 5?
The last digit is 0.
So yes.
= ÷ 5: last digit 0 or 5? 0 → yes ✓
For 10: is it 0?
The last digit is 0.
So yes.
= ÷ 10: last digit 0? 0 → yes ✓
2 Look at the last two digits
= 1290
100 is 4 times 25.
So 4 goes into every hundred.
Only the last two digits are left: 90.
12 hundreds + 90 (100 = 4 × 25)
90 divided by 4 is 22, with 2 left over.
So no.
= ÷ 4: 90 ÷ 4 = 22 r 2 → no ✗
Careful!
Even is not enough for 4.
1290 is even, but 4 does not go into 90.
Careful: not even → ÷ 4 ✗
3 Add the digits
We add the digits: 1 + 2 + 9 + 0 is 12.
= 1 + 2 + 9 + 0 = 12
Why add the digits?
Each ten is 9 and 1 more.
Each hundred is 99 and 1 more.
3 and 9 go into the 9s and 99s.
What is left over is the sum of the digits.
10 = 9 + 1, 100 = 99 + 1
For 3: 12 divided by 3 is 4, nothing left over.
So 3 goes into 1290.
= ÷ 3: 12 ÷ 3 = 4 → yes ✓
For 9: 12 divided by 9 is 1, with 3 left over.
So 9 does not go into 1290.
= ÷ 9: 12 ÷ 9 = 1 r 3 → no ✗
4 Use 2 and 3
6 is 2 times 3.
So 6 goes in only when 2 and 3 both go in.
Both do.
So yes.
= ÷ 6: ÷ 2 yes ✓ and ÷ 3 yes ✓ → yes ✓
6 = 2 × 3: both
5 Write the answer
So 1290 is divisible by 2, 3, 5, 6 and 10.
Not by 4 or 9.
= divisible by 2, 3, 5, 6, 10
6 Check
Let's check by dividing.
1290 divided by 2 is 645, nothing left over.
1290 ÷ 2 = 645
1290 ÷ 3 = 430
1290 ÷ 5 = 258
1290 ÷ 6 = 215
1290 ÷ 10 = 129
1290 ÷ 4 = 322 r 2 (not divisible)
Every yes divides exactly, and 4 leaves 2 over.
The tests were right!
Let's look back.
First: look at the last digit.
Then: look at the last two digits.
Then: add the digits.
Then: use 2 and 3.
Then: write the answer.
Last: check.
Answer = divisible by 2, 3, 5, 6, 10
▶ Watch it solved