 ×     #### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
```
Find the number of positive integers which divide 100^999 but not 100^998

```
2 years ago

```							Let d(n) be the number of positive integers that divide n. The following statements are true. 1. If GCD(m,n) = 1, then d(m n) = d(m) d(n). 2. If p is a prime number, then d(p^n) = n+1 So you want to compute d(10^999) - d(10^998) = d(2^999) d(5^999) - d(2^998) d(5^998) = 1000^2 - 999^2 = (1000 - 999) (1000 + 999) = 1999
```
2 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »  ### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions