Question

what is the smallest number by which 3175 must be divided so that the quotient is a perfect square

Answer 1

Answer:

Step-by-step explanation:

5÷3175

5÷635

127÷127

Therefore 3175 should be divided by 127 to get a perfect square..

Answer 2

Step-by-step explanation:

Question

ᴡʜᴀᴛ ɪs ᴛʜᴇ sᴍᴀʟʟᴇsᴛ ɴᴜᴍʙᴇʀ ʙʏ ᴡʜɪᴄʜ 31752 sʜᴏᴜʟᴅ ʙᴇ ᴅɪᴠɪᴅᴇᴅ sᴏ ᴛʜᴀᴛ ᴛʜᴇ ǫᴜᴏᴛɪᴇɴᴛ ɪs ᴀ ᴘᴇʀғᴇᴄᴛ ᴄᴜʙᴇ???

To find

ᴛʜᴇ sᴍᴀʟʟᴇsᴛ ɴᴜᴍʙᴇʀ ᴅɪᴠɪᴅᴇᴅ ᴛᴏ ᴍᴀᴋᴇ ᴘᴇʀғᴇᴄᴛ ᴄᴜʙᴇ..

solution

ʀᴇsᴏʟᴠɪɴɢ 8788 ɪɴᴛᴏ ᴘʀɪᴍᴇ ғᴀᴄᴛᴏʀs, ᴡᴇ ɢᴇᴛ

2|31752

2|15876

2|7938

3|3969

7|1323

3|189

3|63

3|21

7

31752 = 2×2×2×(3)×(7)×3×3×3×(7)

ᴄʟᴇᴀʀʟʏ , ᴛᴏ ᴍᴀᴋᴇ ᴘᴇʀғᴇᴄᴛ ᴄᴜʙᴇ , ɪᴛ ᴍᴜsᴛ ʙᴇ ᴅɪᴠɪᴅᴇᴅ ʙʏ (3×3×7) ,ɪ.ᴇ., 63

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