"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 17⁰** = 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 17⁰ 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 17****²³ 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**

**Sum of all 3 digit numbers formed with 1, 3, 4**

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**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**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**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 **

**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 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**

HTML Comment Box is loading comments...