Question

5^250 divided by 250​

Answer 1

Answer:

we analyse that 250 perfectly divide a number like 250, 500, 750, 1000 which are multiple of 250

We start increse the power of 5 and see what happens

5^1=5

5^2=25

5^3=125

Now u can look what is going on

5^4=625 (500+125)

5^5=3125 (3000+125)

5^6=15625 (15500+125)

5^7=78125 ….(78000+125)

5^8=390625…..(390500+125)

5^9=1953125…..(1953000+125)

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5^250=(something multiple of 250 + 125)

So remainder is 125.

A particular pattern is following in this problem last 3 digits are repeating 125 and 625 which gives every time remainder of 125.

Good luck!!

Answer 2

Answer:

5^247/2

Step-by-step explanation:

Given:

5^250/250

5^250/5^3×2

5^250-3/2

5^247/2