# 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?

What is the highest power of 24 that divides 100?

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;

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)

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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

Senior Software Engineer (2013–present)Author has 26.9K answers and 158.6M answer views5y

Related

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.

Rudreshwar Gadhari

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

Related

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

Therefore your answer is 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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Henk Verhelle

Master in Theoretical Computer Science, Ghent University (Graduated 1998)Author has 425 answers and 292.9K answer views1y

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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

Related

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.

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

Click here👆to get an answer to your question ✍️ What is the highest power of 5 that divides 90 × 80 × 70 × 60 × 50 × 40 × 30 × 20 × 10 ?

Question

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

**A**

## 10

**B**

## 12

**C**

## 14

**D**

## 15

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