test the divisibility of the following numbers by 7 : 25368 yes or no
Answers
Answer:
Step-by-step explanation:
yes 25368 id divisible by 7
Rule 1: Remove the last digit, double it, subtract it from the truncated original number and continue doing this until only one digit remains. If this is 0 or 7, then the original number is divisible by 7
25368-->2536-2*8=2536-16=2520
2520--->252-2*0=252
252-->25-2*2=25-4=21
21--->2-2*1=2-2=0 so it is DIVISIBLE by 7
Rule 2: Take the digits of the number in reverse order, that is, from right to left, multiplying them successively by the digits 1, 3, 2, 6, 4, 5, repeating with this sequence of multipliers as long as necessary. Then add the products. If the resulting sum is divisible by 7, then the original number is divisible by 7.
reverse order for 25368 is 86352
=>8(1)+6(3)+3(2)+5(6)+2(4)=8+18+6+30+8=70
70 is divisible by 7 so 25368 is divisible by 7
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