Check the divisibility of number
i)23349
Answers
Answer:
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Using divisibility tests, determine which of the following numbers are divisible by
4; by 8:
(a) 572 (b) 726352 (c) 5500 (d) 6000 (e) 12159
(f) 14560 (g) 21084 (h) 31795072 (i) 1700 (j) 2150
Solution
Transcript
SOLUTION:
A number is divisible by 4 if the number formed by last two digits is divisible by 4. i.e tens and ones place digits.
A number is divisible by 8 if the number formed by last three digits i.e hundreds, tens and ones place digits.
i) 572
by 4: last two digits are 72 and 72 is divisible by 4. Therefore, 572 is also divisible by 4.
by 8: last three digits are 572 and 572 is not divisible by 8.
ii) 726352
by 4: last two digits are 52 and 52 is divisible by 4. Therefore, 726352 is also divisible by 4.
by 8: last three digits are 352 and 352 is divisible by 8. Therefore, 726352 is also divisible by 8.
iii) 5500
by 4: last two digits are 00 and 00 is divisible by 4. Therefore, 5500 is also divisible by 4.
by 8: last three digits are 500 and 500 is not divisible by 8. Therefore, 5500 is not divisible by 8.
iv) 6000
by 4: last two digits are 00 and 00 is divisible by 4. Therefore, 6000 is also divisible by 4.
by 8: last three digits are 000 and 000 is divisible by 8. Therefore, 6000 is divisible by 8.
v) 12159
by 4: last two digits are 59 and 59 is not divisible by 4. Therefore, 12159 is also not divisible by 4.
by 8: last three digits are 159 and 159 is not divisible by 8. Therefore, 12159 is divisible by 8.
vi) 14560
by 4: last two digits are 60 and 60 is divisible by 4. Therefore, 14560 is also divisible by 4.
by 8: last three digits are 560 and 560 is divisible by 8. Therefore, 14560 is divisible by 8.
vii) 21084
by 4: last two digits are 84 and 84 is divisible by 4. Therefore, 21084 is also divisible by 4.
by 8: last three digits are 084 and 084 is not divisible by 8. Therefore, 21084 is divisible by 8.
viii) 31795072
by 4: last two digits are 72 and 72 is divisible by 4. Therefore, 31795072 is also divisible by 4.
by 8: last three digits are 072 and 072 is divisible by 8. Therefore,31795072 is divisible by 8.
ix) 1700
by 4: last two digits are 00 and 00 is divisible by 4. Therefore, 1700 is also divisible by 4.
by 8: last three digits are 700 and 700 is not divisible by 8. Therefore, 1700 is not divisible by 8.
x) 2150
by 4: last two digits are 50 and 50 is not divisible by 4. Therefore, 2150 is also not divisible by 4.
by 8: last three digits are 150 and 150 is not divisible by 8. Therefore, 2150 is not divisible by 8.
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Answer:
3×43×181=23349
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