Remainder when 7^103 is divided by 24 , Mathematics

Assignment Help:

Find the remainder when 7^103 is divided by 24

Solution) we know by the concept of mod that.....

49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is divisible by 24)

so 7^2congruent to 1 mod 24

so 7^102congruent to 1 mod 24(raising to the power 51)

hence the remainder when 7^102 is divided by 24 is 1 i.e. 7^102=24m+1

so multipling by 7 both sides we have....7^103=24.7m+ 7

hence 7^103=24n + 7

so remainder is 7 (ans)

Related Discussions:- Remainder when 7^103 is divided by 24

Multiplication, ?x7=54

?x7=54

State test, how can i study for the math state test

how can i study for the math state test

Solid Mensuration, The two sides of a triangle are 17cm and 28cm long, and ...

The two sides of a triangle are 17cm and 28cm long, and the length of the median drawn to the third side is equal to 19.5 cm. What is the distance from an endpoint of the median to

Explain mixed numbers with examples, Explain Mixed Numbers with examples? ...

Explain Mixed Numbers with examples? Everybody loves a bargain, right? But sometimes these "special deals" aren't what they seem to be. For example, pretend you were at a

Aljebra, 2

Equal matrices - linear algebra and matrices, I need assignment help for Eq...

I need assignment help for Equal Matrices. can you please define Equal Matrices?

Linear equations, Linear Equations We'll begin the solving portion of ...

Linear Equations We'll begin the solving portion of this chapter by solving linear equations. Standard form of a linear equation: A linear equation is any equation whi

Geometric mean, When three quantities a, b and c are in G.P., t...

When three quantities a, b and c are in G.P., then the geometric mean "b" is calculated as follows. Since these quantities are in G.P., the r

Probability: determine the optimal strategy , On a picnic outing, 2 two-pe...

On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a

Differential calculus finding limits, how can i evaluate this lim of x as x...

how can i evaluate this lim of x as x approaches to a

Write Your Message!

Name

Email id

Message

Verfication Code

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

User Account

All Pages