Determine whether the given number is divisible by 4, 7, 8, and 11

☾︎Aɴsᴡᴇʀ☽︎:

1. 22,680 ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4 ᴀɴᴅ 8.

• 4 = 80 ÷ 4 = 20
• 8 = 680 ÷ 8 = 85

2. 33,264 ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4, 8, ᴀɴᴅ 11.

• 4 = 64 ÷ 4 = 16
• 8 = 264 ÷ 8 = 33
• 11 = 3 + 2 + 4 = 9

3 + 6 = 9

9 - 9 = 0

3. 399,168 Is ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4, 7, 8, ᴀɴᴅ 11.

• 4 = 68 ÷ 4 = 17
• 8 = 168 ÷ 8 = 21
• 11 = 3 + 9 + 6 = 18

9 + 1 + 8 = 18

18 - 18 = 0

sᴇᴠᴇɴ ɪs ᴀ ʙɪᴛ ᴄᴏᴍᴘʟɪᴄᴀᴛᴇᴅ..

• 7 = 8 × 2 = 16

39,916 - 16 = 39,900

0 × 2 = 0

3,990 - 0 = 3,990

0 × 2 = 0

399 - 0 = 399

9 × 2 = 18

39 - 18 = 21

1 × 2 = 2

2 - 2 = 0

☽︎Exᴘʟᴀɴᴀᴛɪᴏɴ☾︎:

Hᴏᴡ ᴡᴏᴜʟᴅ ʏᴏᴜ ᴋɴᴏᴡ ɪғ ɪᴛs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4?

♫︎Iғ ᴛʜᴇ ɴᴜᴍʙᴇʀ ғᴏʀᴍᴇᴅ ʙʏ ᴛʜᴇ ʟᴀsᴛ ᴛᴡᴏ ᴅɪɢɪᴛs ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4.

Exᴀᴍᴘʟᴇ: 5284

Tᴡᴏ ʟᴀsᴛ ᴅɪɢɪᴛs ɪs 84.

84 ᴅɪᴠɪᴅᴇ 4 ɪs 21

Tʜᴇʀᴇғᴏʀᴇ, 5284 ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 4.

Hᴏᴡ ᴡᴏᴜʟᴅ ʏᴏᴜ ᴋɴᴏᴡ ɪғ ɪᴛs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 7?

♫︎Tʜᴇ ʀᴇsᴜʟᴛ ᴏғ sᴜʙᴛʀᴀᴄᴛɪɴɢ ᴛᴡɪᴄᴇ ᴛʜᴇ ᴜɴɪᴛs ᴅɪɢɪᴛ ғʀᴏᴍ ᴛʜᴇ ɴᴜᴍʙᴇʀ ғᴏʀᴍᴇᴅ ʙʏ ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ᴅɪɢɪᴛs ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 7.

Rᴜʟᴇs:

1. Tᴀᴋᴇ ᴏᴜᴛ ᴛʜᴇ ʟᴀsᴛ ᴅɪɢɪᴛ ᴏғ ᴛʜᴇ ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀ.
2. Mᴜʟᴛɪᴘʟʏ ᴛʜᴇ ʟᴀsᴛ ᴅɪɢɪᴛ ʙʏ 2.
3. Sᴜʙᴛʀᴀᴄᴛ ᴛʜᴇ ʀᴇsᴜʟᴛs ғʀᴏᴍ ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ᴅɪɢɪᴛs.
4. Iғ ᴛʜᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs 0 ᴏʀ ᴍᴜᴛɪᴘʟᴇ ᴏғ 7, ᴛʜᴇɴ ᴛʜᴇ ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀ ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 7.

Exᴀᴍᴘʟᴇ: Is 168 ᴅɪᴠɪsɪʙʟᴇ ʙʏ 7?

* 8 × 2 = 16

* 16 - 16 = 0

Sᴏ ᴛʜᴇʀᴇғᴏʀᴇ, 168 ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 7.

Hᴏᴡ ᴡᴏᴜʟᴅ ʏᴏᴜ ᴋɴᴏᴡ ɪғ ɪᴛs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 8?

♫︎Iғ ᴛʜᴇ ɴᴜᴍʙᴇʀ ғᴏʀᴍᴇᴅ ʙʏ ᴛʜᴇ ʟᴀsᴛ ᴛʜʀᴇᴇ ᴅɪɢɪᴛs ɪs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 8.

Exᴀᴍᴘʟᴇ: Is 2616 ᴅɪᴠɪsɪʙʟᴇ ʙʏ 8?

* 616 ÷ 8 = 77

616 Is ᴅɪᴠɪsɪʙʟᴇ ʙʏ 8.

Hᴏᴡ ᴡᴏᴜʟᴅ ʏᴏᴜ ᴋɴᴏᴡ ɪᴛ ɪᴛs ᴅɪᴠɪsɪʙʟᴇ ʙʏ 11?

♫︎Tʜᴇ ᴀʟᴛᴇʀɴᴀᴛɪɴɢ ᴀᴅᴅɪᴛɪᴏɴ ᴀɴᴅ sᴜʙᴛʀᴀᴄᴛɪᴏɴs ᴏғ ᴛʜᴇ ᴅɪɢɪᴛs ɪs ᴀ ɴᴜᴍʙᴇʀ ᴅɪᴠɪsɪʙʟᴇ ʙʏ 11.

Exᴀᴍᴘʟᴇ: Is 26820 ᴅɪᴠɪsɪʙʟᴇ ʙʏ 11?

* 2 + 8 + 0 = 10

* 6 + 2 = 8

* 10 - 8 = 2

Nᴏ, 26820 ɪs ɴᴏᴛ ᴅɪᴠɪsɪʙʟᴇ ʙʏ 11.

Sᴀɴᴀ ᴄᴏʀᴇᴋᴛ :') |ᴍᴀᴏ