The given statement is true or false:

25110 is divisible by 45 .

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- If the divisor is divided into its components, figuring out if a dividend is divisible is simple. The math that results from trying to determine if 45 is divisible on its own might be challenging. Therefore, it is suggested to divide 45 into its main components.
Here, we must determine whether 25110 may be divided by 45.
The prime factors of a divisor make it simple to compute its divisibility, hence the prime factors of divisor 45 are

Thus, prime factors of 45 are:

(1)
If the total of all the dividend digits is divisible by 3 or less, then the entire dividend is said to be divisible by 3; otherwise, it is not.

(2)
Similar to the 0 or 5 criterion, the dividend is said to be divisible by 5 if the final digit of the dividend is either 0 or 5.

Combining equations (2) and (3), we see that a dividend is only deemed to be 45-divisible if it is also divisible by both 3 and 5.
Consequently, by using the rule of three divisibility on 25110 from equation (2), we obtain

, which is divisible by 3
And applying divisibility rule of 5 from equation (3), we get

last digit is 0 , hence it is also divisible by 5
Thus, we can say that 25110 is divisible by 3 and 5 .
So, 25110 is divisible by 45 .
Hence, the given statement is true.

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