
(10^6+5^7) делится на 90


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To determine if the number (10^6 + 5^7) is divisible by 90, we need to check if it is divisible by both 9 and 10. A number is divisible by 90 if and only if it is divisible by both 9 and 10 because 90 = 9 * 10.
First, let's calculate the value of (10^6 + 5^7):
10^6 = 1,000,000 5^7 = 78,125
Now, let's add them together:
10^6 + 5^7 = 1,000,000 + 78,125 = 1,078,125
Next, let's check if it is divisible by 9:
To check if a number is divisible by 9, we sum up its digits. If the sum of the digits is divisible by 9, then the original number is also divisible by 9.
1 + 0 + 7 + 8 + 1 + 2 + 5 = 24
Since 24 is not divisible by 9 (24 ÷ 9 = 2 remainder 6), the number 1,078,125 is not divisible by 9.
Now, let's check if it is divisible by 10:
A number is divisible by 10 if it ends with a zero.
The number 1,078,125 does not end with a zero; hence, it is not divisible by 10.
Since (10^6 + 5^7) is not divisible by either 9 or 10, it is not divisible by 90.


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