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State whether the given statement is true or false:

The largest digit number with prime factorisation is

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True

False

answer is B.

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Detailed Solution

The given statement is false.
Concept: First step is to write the

digit largest number. Then, apply the divisibility rule to know the factors to the required number.
The

digit largest number is

Now, the number is odd. It is not divisible by

Now, the sum of its digits is

and

is divisible by

It implies that,

is divisible by

Now, the required number is negative and the sum of its digit

is divisible by

Now, last digits is

. Therefore, it is neither divisible by

nor

.
Also, for the divisibility by

the twice of the numbers last digit is

and the difference of remaining numbers and twice of last digits is

.
As

is not divisible by

So,

is not divisible by

Here, the difference of the sum of even place digits and odd place digits is

It means number is divisible by

is the prime number.
So, the factors of

Hence, the given statement is false.

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State whether the given statement is true or false:The largest digit number with prime factorisation is

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State whether the given statement is true or false:

The largest digit number with prime factorisation is