Find the last digit of 3278 power 123
WebAug 28, 2024 · Hence the sequence of digits repeats 504 times with no extra entries, so the last digit should be 6. Modular Arithmetic. The above idea can be expressed more elegantly with modular arithmetic. Finding the last digit of a number is the same as finding the remainder when this number is divided by 10. In general, the last digit of a power in …
Find the last digit of 3278 power 123
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WebJun 17, 2024 · 72.5k 14 102 123. Add a comment. 8. Problem is easy to solve once you realize that the last digits of powers form a cycle. For example: 2: 2, 4, 8, 6, 2, 4 3: 3, 9, … WebMay 21, 2024 · To find : The unit digit of the expression? Solution : First we determine the cyclicity of number 9. The cyclicity of 9 is 2. Now with the cyclicity number i.e. with 2 divide the given power . i.e. 85 ÷ 2 . The remainder will be 1. The required answer is 9 raised to the power 1 is 9. Therefore, The unit digit of is 9.
Web1. Lostsoul, this should work: number = int (10) #The variable number can also be a float or double, and I think it should still work. lastDigit = int (repr (number) [-1]) #This gives the last digit of the variable "number." if lastDigit == 1 : print ("The number ends in 1!") Instead of the print statement at the end, you can add code to do ... WebIn (625) 317, unit digit is 5. Since 5 has the cyclicity 1, the unit digit of (625) 317 is 5. In (341) 491, unit digit is 1. Since 1 has the cyclicity 1, the unit digit of (341) 491 is 1. By multiplying the unit digits, we get. 4 x 5 x 1 = 20. The unit digit of 20 is '0'. Therefore, the unit digit of the expression
WebThe last digit repeats in a pattern that is 4 digits long: 7,9,3,1 7,9,3,1. Note that 358 358 divided by 4 4 is 89 89 with a remainder of 2, 2, so the pattern will repeat 89 89 times, … WebFind the last digit of 3278 to the power 123 Answer : As per the data given in the above question. we have to find the unit place of (3278)¹²³. Always know that the units digits …
Web4 ∣ 9996 because 4 96 (a number is divisible by 4 iff its last two digits are divisible by 4 7 3 remaining which we know that 7 3 ≡ 3 10. This means the last digit of 7 9999 is 3. 7 4 = 7 2 ⋅ 7 2 ≡ 9 9 = 81 ≡ 1 mod 10. You only asked for the last digit as far as I can tell.
WebMay 12, 2024 · answered Find the last digit of 3278^123 Advertisement kartikharti1856 is waiting for your help. Add your answer and earn points. Answer No one rated this … heart check america lithoniaWebThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Compute and justify your answer (guessing the pattern will not do): (a) The last digit of 65^35 . (b) 2^123 mod 15. (c) 6^65 mod 13. Compute and justify your answer (guessing the pattern will not do): (a) The ... heart charm words craftWebAug 14, 2024 · $\begingroup$ Taking the remainder after dividing by $10$ gives us the last digit. taking the remainder after dividing by $100$ gives us the last two digits.Taking the reaminder after dividing by $1000$ gives us the last three digits. For example $12345=123 \times 100 + 45$, hence dividing by $100$ and take the remainder gives us $45$, which … heart checkWebJul 4, 2024 · How to find the last digit of any power. How to find last digit of any number in hindi. Hiw to find last digit. How to find last digit of large number of exp... mount auburn hospital sleepWebWe would like to show you a description here but the site won’t allow us. heart chasing moneyWebso the last digit of 7 100 is 1. Note that φ ( 100) = 100 ( 1 − 1 2) ( 1 − 1 5) = 40 using Euler's product formula, so since 3 and 100 are coprime, 3 φ ( 100) ≡ 3 40 ≡ 1 (mod 10) and so … heart check america locationsWebAug 16, 2024 · The trick is to realize that there is a lot of extraneous information. We only need the last digit of $123155131514315\equiv 5$ and the remainder when divided by $4$ of $4515131323164343214547\equiv 3$ to know the last digit of $123155131514315^{4515131323164343214547}$ is the same as the last digit of $5^3$. heart check america scam