Divisibility Rules Sheet 1 - A worksheet for practicing divisibility by 1, 5, and 10 with a challenge question.

Let’s work through the table step by step.

We need to check for each number whether it is divisible by 1, 5, and 10.

First, remember the rules:

- Divisible by 1: Every whole number is divisible by 1 → always “yes”.
- Divisible by 5: The number must end in 0 or 5.
- Divisible by 10: The number must end in 0.

Now let’s go row by row:

---

22 → already filled: yes, no, no → correct (ends in 2 → not 0 or 5 → not divisible by 5 or 10)

35 → ends in 5 → divisible by 5? yes. Divisible by 10? no (doesn’t end in 0). Divisible by 1? yes.
→ yes, yes, no

80 → ends in 0 → divisible by 5? yes. Divisible by 10? yes. Divisible by 1? yes.
→ yes, yes, yes

77 → ends in 7 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

45 → ends in 5 → divisible by 5? yes. Divisible by 10? no. Divisible by 1? yes.
→ yes, yes, no

120 → ends in 0 → divisible by 5? yes. Divisible by 10? yes. Divisible by 1? yes.
→ yes, yes, yes

93 → ends in 3 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

184 → ends in 4 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

150 → ends in 0 → divisible by 5? yes. Divisible by 10? yes. Divisible by 1? yes.
→ yes, yes, yes

263 → ends in 3 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

300 → ends in 0 → divisible by 5? yes. Divisible by 10? yes. Divisible by 1? yes.
→ yes, yes, yes

195 → ends in 5 → divisible by 5? yes. Divisible by 10? no. Divisible by 1? yes.
→ yes, yes, no

324 → ends in 4 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

170 → ends in 0 → divisible by 5? yes. Divisible by 10? yes. Divisible by 1? yes.
→ yes, yes, yes

416 → ends in 6 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

753 → ends in 3 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

465 → ends in 5 → divisible by 5? yes. Divisible by 10? no. Divisible by 1? yes.
→ yes, yes, no

390 → ends in 0 → divisible by 5? yes. Divisible by 10? yes. Divisible by 1? yes.
→ yes, yes, yes

1425 → ends in 5 → divisible by 5? yes. Divisible by 10? no. Divisible by 1? yes.
→ yes, yes, no

1107 → ends in 7 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

3130 → ends in 0 → divisible by 5? yes. Divisible by 10? yes. Divisible by 1? yes.
→ yes, yes, yes

4108 → ends in 8 → not 0 or 5 → not divisible by 5 or 10. Divisible by 1? yes.
→ yes, no, no

2205 → ends in 5 → divisible by 5? yes. Divisible by 10? no. Divisible by 1? yes.
→ yes, yes, no

---

Now, the CHALLENGE:
Can you find a number between 163 and 184 which is divisible by 1, 5, and 10?

To be divisible by 1, 5, and 10 → must be divisible by 10 (since if divisible by 10, it’s automatically divisible by 5 and 1).

So we need a number between 163 and 184 that ends in 0.

List numbers ending in 0 in that range:
170, 180

Check:
170 → between 163 and 184? yes. Ends in 0 → divisible by 10 → so also by 5 and 1. ✔
180 → also between 163 and 184? yes. Also works. ✔

But the question says “a number” — so either is fine. Let’s pick 170.

Wait — let’s double-check:
Is 170 > 163? Yes.
Is 170 < 184? Yes.
Ends in 0 → divisible by 10 → yes.
So 170 works.

Also 180:
180 > 163? Yes.
180 < 184? Yes.
Ends in 0 → yes.

So both 170 and 180 work. But since the question asks for “a number”, we can give either.

Let’s go with 170.

Final Answer:
170