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# what is the greatest positive power of 5 that divides 70 exactly

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## What is the greatest positive power of 5 that divides 30 exactly Option 1 5 Option 2 6 Option 3

help Category Question Solution - What is the greatest positive power of 5 that divides 30! exactly? Option 1 : 5 Option 2 : 6 Option 3 : 7 ansOption 4 : 8

## Latest help Aptitude Question SOLUTION: What is the greatest positive power of 5 that divides 30! exactly? Option 1 : 5 Option 2 : 6 Option 3 : 7 ansOption 4 : 8

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What is the greatest positive power of 5 that divides 30! exactly?

Option 1 : 5 Option 2 : 6 Option 3 : 7 ansOption 4 : 8

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## What is the greatest positive power of 5 that divides 30! exactly?

Answer (1 of 4): Solution: 30/5= 6 ; 6/5=1; Adding the quotients, its 6+1=7 So highest power of 5 in 30! = 7 For more, have a look at my blog post: Number Theory-1 For video tutorial: Factorials (Video)

What is the greatest positive power of 5 that divides 30! exactly?

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Sort Ankit Goyal

Officer (2017–present)5y

Simply, you need to know the power of 5 in prime factorization of 30!

Which can be obtained by following method:

[30/5]+[30/ 5 2 ]+[30/ 5 3 ]+…….

[30/5]+[30/52]+[30/53]+…….

where [.] is a functions which returns only the integer value

So, it becomes 6+1+0+…… = 7

To find power of any prime number x in prime factorization of n! ,

[n/x]+[n/ x 2 ]+[n/ x 3 ]+[n/ x 4 ]+…….

[n/x]+[n/x2]+[n/x3]+[n/x4]+…….

Related questions

What is the greatest power of 5 which can divide 125! Exactly?

What is the highest power of 5 that divides 90×80×70×60×50×40×30×20×10?

What power of 30 will exactly divide 128! ?

How is 5, 10, 5, 30, 60?

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Amit Verma Self employed 5y

1 as among factors of 30 the only multiple of 5 is 5 itself. Therefore power can't be more than 1

Praveenkumar Kalikeri

Engineer by Choice, Maths Educator by passionAuthor has 1.1K answers and 2.2M answer views5y

Solution: 30/5= 6 ; 6/5=1;

So highest power of 5 in 30! = 7

For more, have a look at my blog post: Number Theory-1

For video tutorial: Factorials (Video)

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I solved a quetion " What is the least numberwhich satifies thecondition: There is number of 'n' digits.If the digit in the unit place at5y

7ĺ 5,10,15,20,25 & 30

Are having 7 , 5s as factors.

Steve Baker

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How does one compute the greatest positive integral number which divides 41, 82 and 32 exactly?

41 is a prime number - the only things that divide it exactly are 1 and 41.

Since 32 isn’t divisible by 41 - the only answer left is ‘1’. Of course everything is divisible by 1.

Lives in Borivali, Mumbai (2007–present)Author has 79 answers and 62.9K answer views1y

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What will be the highest power of 7 that divides the 39?

By Prime Factorization you van find out that

39=13 × 3 so no 7’s here SO we know 7^0 = 1

Vaibhav Kumar

Studied Philosophy & Political Science6y

Related

What is the greatest power of 5 which can divide 125! Exactly?

31.There is a very simple trick to answer these type of questions.

Step 1-Just divide the number given in factorial by the denominator,then note down the quotient(Here- 125%5=25 gives you 25)

Step 2- Now divide the quotient obtained in step 1 again with the number which was initially given in the denominator.Note down the new quotient obtained.(25%5=5 gives you 5)

Step 3-Repeat this process and keep noting down the quotient until you reach where you no longer carry the process.(5%5=1 gives you 1)

Now add all the results you got in all steps will give you the answer.Here 25+5+1=31

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Which positive integers have exactly 3 positive divisors? Which have exactly 4 positive divisors?

A prime number has exactly 2 divisors : 1 and the number itself.

The square of a prime number has 3 divisors : 1, that prime number, and the square of that prime number.

The cube of a prime number has 4 divisors : 1, that prime number, the square of that prime number, and the cube of that prime number.

A number that is the product of two different prime numbers has also 4 divisors : 1, the first prime number, the second prime number, and the product of the two prime numbers.

So we conclude that all integers that are the square of a prime number have 3 divisors and that all integers that are the cu

Shubham Mukherjee

Associate Software Engineer at Atos (2018–present)4y

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What power of 210 will exactly divide 142?

I am pretty sure u asked for “What power of 210 will exactly divide 142!?”. If my intuition is correct then the answer would be 22.

If we factorize 210, it will be 2 x 3 x 5 x 7.

स्रोत : www.quora.com

## What is the highest power of 5 that divides 90 × 80 × 70 × 60 × 50 × 40 × 30 × 20 × 10 ?

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Mohammed 2 month ago

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