By John Rome R. Aranas DIVISIBILITY RULES
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By John Rome R. Aranas
DIVISIBILITY RULES
Divisibility Rules Definition of Terms
These rules let you test if one number is divisible by an-
other, without having to do too
much calculation!
“Divisible by” Definition of Terms
It means "when you divide one number by another the result is
a whole number"EXAMPLES:
12 is divisible by 6, because 12 6 = 215 is divisible by 3, because 15 3 = 316 is not divisible by 5, because 16 5 = 3r2
TRIVIA Definition of Terms
Zero (0) is divisible to ANY
NUMBER
Divisible by 2
If the number ends in 0, 2, 4, 6, or 8
EXAMPLES:14 is divisible by 2, because it ends in 4452 is divisible by 2, because it ends in 2273 is not divisible by 2, because it does not end in 0, 2, 4, 6, or 8
Divisible by 2
Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT.
54YES!
Divisible by 2
Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT.
283NO!
Divisible by 2
Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT.
872YES!
Divisible by 2
Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT.
987NO!
Divisible by 2
Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT.
5,267 NO!
Divisible by 3If the sum of the digits is
divisible by 3.EXAMPLES:15 is divisible by 3, because 1+5=6, 63=2
453 is divisible by 3, because 4+5+3=12, 123=4
947 is not divisible by 3, because 9+4+7=20, 203=6r2
Divisible by 3
Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT.
54YES!
Divisible by 3
Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT.
837YES!
Divisible by 3
Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT.
123YES!
Divisible by 3
Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT.
687NO!
Divisible by 3
Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT.
3,267 YES!
Divisible by 4If the last 2 digits are divisible by
4 or both zeroes (00).EXAMPLES:
24 is divisible by 4, because 244=6
673 is not divisible by 4, because 734=18r1
528 is divisible by 4, because 284=7
Divisible by 4 (Alternate Rule)Divide the last 2 digits by 2, 2 times. If there’s no remainder,
then the number is divisible by 4.EXAMPLES:
24 is divisible by 4, because 242=12, and 122=6, no remainder.
528 is divisible by 4, because 282=14, and 142=7, no remainder.
Divisible by 4
Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT.
32YES!
Divisible by 4
Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT.
615NO!
Divisible by 4
Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT.
761NO!
Divisible by 4
Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT.
900YES!
Divisible by 4
Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT.
3,000 YES!
Divisible by 5If the number ends in 0 or 5.
EXAMPLES:99 is not divisible by 5, because it doesn’t end in 0 or 5.
875 is divisible by 5, because it ends in 5
1,280 is divisible by 5, because it ends in 0
Divisible by 5
Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT.
63NO!
Divisible by 5
Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT.
890YES!
Divisible by 5
Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT.
761NO!
Divisible by 5
Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT.
805YES!
Divisible by 5
Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT.
8,765 YES!
Divisible by 6If the number is divisible by BOTH 2
and 3.EXAMPLES:67 is not divisible by 6, because it not divisible by both 2 and 3.
682 is not divisible by 6, because it is not divisible by 3.
978 is divisible by 6, because it is divisible by both 2 and 3.
Divisible by 6
Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT.
54YES!
Divisible by 6
Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT.
543NO!
Divisible by 6
Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT.
782YES!
Divisible by 6
Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT.
657NO!
Divisible by 6
Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT.
1,628 NO!
Divisible by 8If the last 3 digits are divisible by
8 or all zeroes (000).EXAMPLES:
104 is divisible by 8, because 1048=13
1,000 is divisible by 8, because it ends in 3 zeroes
7,808 is divisible by 8, because 8088=101
Divisible by 8 (Alternate Rule)Divide the last 3 digits by 2, 3 times. If there’s no remainder,
then the number is divisible by 8.EXAMPLES:
104 is divisible by 8, because 1042=52, 522=26, and 262=13, no remainder.
7,808 is divisible by 8, because 8082=404, 4042=202, and 2022=101, no re-mainder.
Divisible by 8
Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT.
62NO!
Divisible by 8
Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT.
800YES!
Divisible by 8
Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT.
923NO!
Divisible by 8
Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT.
7,000 YES!
Divisible by 8
Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT.
8,768 YES!
Divisible by 9If the sum of the digits is
divisible by 9.EXAMPLES:18 is divisible by 9, because 1+8=9, 99=1
387 is divisible by 9, because 3+8+7=18, 189=2
789 is not divisible by 9, because 7+8+9=24, 249=2r6
Divisible by 9
Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT.
54YES!
Divisible by 9
Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT.
837YES!
Divisible by 9
Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT.
567YES!
Divisible by 9
Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT.
784NO!
Divisible by 9
Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT.
7,623 YES!
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