Question

10,534,341 is divisible by a. 3 b. 9 c. 2 Explain your reasoning for your choice(s).

Answer 1

Answer:

a. 3

Step-by-step explanation:

We can get to know if a number is divisible by 3 if after adding all the digits of that number we get a number which is completely divisible by 3 or we can say the number appears in the table of 3.

For example: In the given number if we will add all the digits the we will get  21 and we all know that 21 is divisible by 3.

10,534,341 = 1 + 0 + 5 + 3 + 4 + 3 + 4 + 1 = 21

21 = 21/3 = 7

Other options are incorrect.

Divisibility rule for 2 : A number is said to be divisible by 2 if it's ones place ends in 0, 2, 4, 6 or 8 i.e. an even number. The given number does not satisfy this condition because it ends in 1 which is an odd number.

Divisibility rule for 9 : A number is said to be divisible by 9 if after adding all the digits of that number we get a number which is completely divisible by 9. Since the sum total of the given number is 21 which is not completely divisible by 9 we can easily infer that 9 is not the answer for this question.