REMAINDER WHEN 17 POWER 23 IS DIVIDED BY 16

About "Remainder when 17 power 23 is divided by 16"

"Remainder when 17 power 23 is divided by 16" is a bit challenging question for the people who are getting prepared for competitive exams.

Actually it is not a difficult question and it can be answered easily once we know the stuff.

Let us take exponents 0, 1, 2, 3,  ....one by one to "17"

For example, if we take exponent "0" for 17, we get 17 = 1

Here 1 is less than the divisor 16 and 1 can not be divided by 16.

If the dividend is less than the divisor, then that dividend itself to be considered as "Remainder"

So, if 17  is divided by 16, we get the remainder "1"

If the dividend is greater than the divisor, then we have to divide the dividend by the divisor and get remainder.

Let us deal our problem in this way. When we look at the above table carefully, 17⁰ is divided by 16, we get the remainder "1".

Again we get remainder "1" for the exponent "1".

Next we get remainder "1" for the exponent "2" and so on.

So, we get remainder "1", for all the exponents we take for 17.

Since we get the remainder 1 for all the exponents we take for 17,

when we divide 17²³ by 16, the remainder will be "1 ".

As soon as students have the questions like "Remainder when 17 power 23 is divided by 16" in competitive exams, they stumble a lot to answer. Even if they try to answer the questions like this, it takes more time.

Actually this kind of questions can be answered easily once they understand the concept.

After having gone through the stuff, we hope that the students would have understood "How to get remainder when 17 power 23 is divided by 16.

Apart from the question given on this web page, you can look at the method of solving the following questions to make you better prepared for competitive exams.

Sum of all 3 digit numbers which are divisible by 8

Sum of all 3 digit numbers which are divisible by 7

Sum of all 3 digit numbers which are divisible by 6

Sum of all 4 digit numbers formed with non zero digits

Sum of all 4 digit numbers formed with 0, 1, 2, 3

Sum of all 4 digit numbers formed with 1, 2, 5, 6

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 