Latest Elitmus Aptitude Question SOLUTION: How many maximum prime factors can a number of format y0y00 can have ? eg..20200

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(#M40025804) ELITMUS Numerical Ability question Elitmus question Keep an EYE

How many maximum prime factors can a number of format y0y00 can have ?
eg..20200

Asked In Elitmus ranjeet singh chauhan (10 years ago)

Unsolved Read Solution (12)

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prayas goel  (10 years ago)

@Ankit Bhai- Bhai mere according bhi 4 he hoga iska answer..
faormat is y0y00...and question asking "How many maximum prime factors can a number of format y0y00 can have "..means y0y00 k kisi bhi format wale no. me maximum kitne prime factors honge..
see.
10100- 2*2*5*5*101 prime factors- 2,5,101 (Total 3 prime factors)
20200- 2*2*2*5*5*101 prime factors- 2,5,101 (Total 3 prime factors)
30300- 2*2*3*5*5*101 prime factors- 2,3,5,101 (Total 4 prime factors)
40400- 2*2*2*2*5*5*101 prime factors- 2,5,101 (Total 3 prime factors)
50500- 2*2*5*5*5*101 prime factors- 2,5,101 (Total 3 prime factors)
60600- 2*2*2*3*5*5*101 prime factors- 2,3,5,101 (Total 4 prime factors)
70700- 2*2*5*5*7*101 prime factors- 2,5,7,101 (Total 4 prime factors)
80800- 2*2*2*2*2*5*5*101 prime factors- 2,5,101 (Total 3 prime factors)
90900- 2*2*3*3*5*5*101 prime factors- 2,3,5,101 (Total 4 prime factors)
So, maximum 4 prime factors can 'a number' of format 'y0y00' can have...
So, 4 will be the right answer

Is this solution Helpfull? Yes (42) | No (1)  

pankaj kandpal  (10 years ago)

maximum 4
like 10100=(2^2).(5^2).101 it has 3 prime factors...
now 20200=2*10100= again 3 prime factors...
now for 30300 it will introduce 3 i.e 3*10100 so it will have 4 prime factors
similarly 50500 , 70700, 90900 all will have 4 prime factors else will hae 3...

Is this solution Helpfull? Yes (11) | No (1)  

prayas goel  (10 years ago)

@Udit-
Oh Really!!! 707 is a prime number...????
707 is divisible by 7
Maximum 4 factors are possible

Is this solution Helpfull? Yes (4) | No   

ranjeet singh chauhan  (10 years ago)

@ankit bhai 7*13=91 hota hai...

90900=3*3*2*5*5*2*101

Is this solution Helpfull? Yes (3) | No   

ranjeet singh chauhan  (10 years ago)

Yes.......It is 4..

:)

Is this solution Helpfull? Yes (2) | No   

Ajit Kumar  (10 years ago)

sorry it will have max of 4 distinct prime factos

Is this solution Helpfull? Yes (2) | No   

ranjeet singh chauhan  (10 years ago)

@ Ankit.

y0y00 ka format hona chaye...And isme y single digit hi hai

warna iske to pata nahi kitne factor ho jayenge..
agar 2 digit, 3digit, 4 digit........ho to

Is this solution Helpfull? Yes (2) | No   

Ajit Kumar  (10 years ago)

2,3,5,7,101 so a no. of the form of Y0Y00 will have max. 5 distinct prime factors..

Is this solution Helpfull? Yes (1) | No (4)  

rajveer singh  (10 years ago)

since there are two zeros in the end so there are 4 possible prime factors possible I.e. 5*2,5*2.

Is this solution Helpfull? Yes (1) | No   

ankit chauhan  (10 years ago)

pgl ho gye ho kya sab 4 max factor noooooooooooooooooooooooooooooo way take 90900 you will get your answer 9*101*100=3*3*7*13*25*2*5*5*2= (2,5,3,7,13)5 max factor pgl ho jo 4 factor keh rhe hai..solve your self 90900

Is this solution Helpfull? Yes (1) | No (16)  

ankit chauhan  (10 years ago)

@ranjeet bhai yr agr tum "y" ko one digit le rhe ho ,,"y" 2 digit bhi toh ho sktha hai jaise ki 9909900..

Is this solution Helpfull? Yes (1) | No (4)  

udit derawal  (10 years ago)

707 is a factor of 70700 nd 707 is a prime no.
so 5 maximum prime numbers can be possible

Is this solution Helpfull? Yes | No (14)  

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