Question

If 146! is divided by 5^n , then find the maximum value of n.

Answer 1

Required answer,

= [146/5] + [146/52] + [146/53];

= 29+5+1.

= 35.

Note:

We have taken integral value only, not the fractional.

For example 146/5 = 29.2 but we have taken 29 and so on.

therefore the answer is 35

Answer 2

Answer:

The maximum value of n is 35.

Step-by-step explanation:

Given : If 146! is divided by $5^n$

To find : The maximum value of n ?

Solution :

We divide 146 by different power of n,

As $\frac{146}{5^1}=29.2\approx 29$

$\frac{146}{5^2}=5.84\approx 5$

$\frac{146}{5^3}=1.168\approx 1$

$\frac{146}{5^4}=0.2336\approx 0$

The required number is 29+5+1=35

Therefore, The maximum value of n is 35.