Question

What are the number of zeros at the end of 70! ?

Answer 1

Multiples of 5 = [ 70 / 5 ] = 14
Multiples of 5²= [ 14 / 5 ] = 2
Multiples of 5³= [ 2 / 5 ] = 0
Power of 5 in 70! = 14 + 2 + 0 = 16.
Number of zero at the end of 70! is 16.
I hope this helps you.

Answer 2

There are 16 zeros at the end of 70!

Given:

The number 70!

To find:

The number of zeros at the end of 70!

Concept:

n! = n (n - 1) (n - 2) (n - 3) ... 1

Then 5! = 5 (5 - 1) (5 - 2) (5 - 3) (5 - 4)

= 5 × 4 × 3 × 2 × 1

= 120

Step-by-step explanation:

Here, 70! = 11 978 571 669 969 891 796 072 783 721 689 098 736 458 938 142 546 425 857 555 362 864 628 009 582 789 845 319 680 000 000 000 000 000

∴ there are 16 zeros at the end of 70!

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