1.Using divisibility tests,determine the numbers are divisible by 6.
(a) 1790184
(b) 639210
2.Using divisibility tests,determine the numbers are divisible by 3.
(a)7221
(b)4608
Answers
Answer:
Step-by-step explanation:
test helps us to check quickly if a number is divisible by another number or not.
Divisibility of numbers by 6
If a number is divisible by 2 & 3 , it is also divisible by 6..
or
A number is divisible by 6 which has 0,2,4,6,8 at its one place & sum of its digits is divisible by 3
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Solution:
(a) 297144⇒ Divisible by 2 as its units place is an even number.
⇒Divisible by 3 as sum of its digits (= 27) is divisible by 3.
Since the number is divisible by both 2 and 3, therefore, it is also divisible by 6.
(b) 1258 ⇒ Divisible by 2 as its units place is an even number.
⇒Not divisible by 3 as sum of its digits (= 16) is not divisible by 3.
Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.
(c) 4335⇒ Not divisible by 2 as its units place is not an even number.
⇒Divisible by 3 as sum of its digits (= 15) is divisible by 3.
Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.
(d) 61233 ⇒Not divisible by 2 as its units place is not an even number.
⇒Divisible by 3 as sum of its digits (= 15) is divisible by 3.
Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.
(e) 901352 ⇒ Divisible by 2 as its units place is an even number.
⇒ Not divisible by 3 as sum of its digits (= 20) is not divisible by 3.
Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.
(f) 438750 ⇒ Divisible by 2 as its units place is an even number.
⇒Divisible by 3 as sum of its digits (= 27) is not divisible by 3.
Since the number is divisible by both 2 and 3, therefore, it is divisible by 6.
(g) 1790184 ⇒ Divisible by 2 as its units place is an even number.
⇒Divisible by 3 as sum of its digits (= 30) is not divisible by 3.
Since the number is divisible by both 2 and 3, therefore, it is divisible by 6.
(h) 12583 ⇒ Not divisible by 2 as its units place is not an even number.
⇒ Not divisible by 3 as sum of its digits (= 19) is not divisible by 3.
Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.
(i) 639210 ⇒ Divisible by 2 as its units place is an even number.
⇒ Divisible by 3 as sum of its digits (= 21) is not divisible by 3.
Since the number is divisible by both 2 and 3, therefore, it is divisible by 6.
(j) 17852 ⇒ Divisible by 2 as its units place is an even number.
⇒ Not divisible by 3 as sum of its digits (= 23) is not divisible by 3.
Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.
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Hope this will help you....
Answer:
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