Tag Archives: Number System

Cyclicity of digits at Unit’s place

 

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Last Two Digits: (Binomial & Cyclicity)

Cyclicity of last two digits: Nowadays, in some of the competitive MBA entrance examinations, questions have been asked to find out the last two digits of a  numberany power. There are basically three ways to find out the last two … Continue reading

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Remainders: (Part II)

Composite Index:

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Remainders (Part I)

In this chapter, we are going to learn how to find remainders when a number or any expression is divided by a particular divisor. First of all, we should understand one thing that in all the problems related to finding … Continue reading

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Application of Number of Factors (Part II)

Placement of factors: We will learn this theory through examples. Let us take factors of 3-4 different numbers. Factors of 12: 1, 2, 3, 4, 6, 12 (6 factors). Factors of 35: 1, 5, 7, 35 (4 factors). Factors of … Continue reading

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Application of Number of Factors (Part I)

After learning how to find number of factors, now we will see some of its tricky applications. Let us start with the basic funda: If we know a natural number in the factorised form, we can find out the number … Continue reading

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Basics of Number of Factors

We are going to learn how to find number of factors of any natural number and various applications of number of factors. Before starting with the main theory, we should be acquainted with some basic terms like factors, factorisation, prime … Continue reading

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Understanding Indices

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Basic Factorization

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Number of Trailing Zeros:

    We have already learnt in the previous chapter how to find the number of zeros in a factorial. Finding number of zeros in any factorial is equivalent to finding the highest power of 5 in that given factorial … Continue reading

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FACTORIALS:

FACTORIALS AND ITS APPLICATIONS: Today, we are going to learn about the factorials and their various applications. But, before we start, we should know the values of factorials up till 6 which will be useful in our calculations. n! = … Continue reading

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