Question

Type a digit that makes this statement true.
7,176,260 is divisible by 3.
Submit

Answer 1

I think the answer would be 1 4 or 7 because that’s the answer I got when I did the problem

Answer 2

1, 4 or 7

Explanation:

The divisibility rule/shortcut for 3 is that the sum of its digits is divisible by 3. So, you currently have 29 (7+1+7+6+2+6+0), and you have to make that number divisible by 3.

adding 1 gets you 30, which we know is divisible by 3.

then, instead of trying every digit, we can note that

30 , 33 , 36 , 39 ....

are divisible by 3.

But the most we can add to the sum of 29 is 9 (because that is the highest digit possible)--so numbers above 38 are irrelevant

so, we want to find out if we can make 29 into 30, 33, or 36

adding 1 to 29 = 30

adding 4 to 29 = 33

adding 7 to 29 = 36

So, by making the first digit 1 , 4 , or 7, you make the number divisible by 3 (making the sentence true)