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Question Number 1
N is a natural number greater than 49 such that it has only 2 factors kand k-2 (other than 1 and N
itself). The last digit of any such number N is called “nTail”. “nTail” can take how many different
values?
o
1 only
O 2 only
O 3 only
o 4 only
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Answer 1

Answer:

2 zosvks78wusjioixjxkQ

susuw0yifuggswonzdjshojcfdgodzbmz

xhdiror95ysifudod

Answer 2

If the number is less than 60, then the last option is the correct answer.

Only 4

• N is a natural number greater than 49 and has two factors other than 1 and the number itself.
• We have some numbers such as 51,55,57 and 58, these numbers are less than 60.
• The factors of these numbers are,

Factors of 51=1,3,17,51

Factors of 55=1,5,11,55

Factors of 57=1,3,19,57

Factors of 58=1,2,28,58

These numbers fulfill the conditions, so the numbers can have a 'ntail' of 4 numbers.

• But if the number is greater than 60 it can have more values than 4.

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