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Number Theory

Grade 7 & 8 math tutorial on number theory for MATHCOUNTS, Math Kangaroo, and AMC8 Preparation.




Factors

Last modified on 2016-03-10


Factors are the numbers you multiply together to get another number. For example, both 2 and 3 are factors of number 6. And in numberr 8, there are 3 factors that are identical in value: 2, 2, and 2.  More...


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Divisibility rules

Last modified on 2016-03-10


A number is divisible by 2 if the number is even. A number is divisible by 3 if the sum of the digits is divisible by 3.  More...


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Prime factorization

Last modified on 2016-03-10


A Prime number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1.

Prime Factorization is the process of finding all the prime factors of an integer.  More...


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GCF & LCM

Last modified on 2016-03-10


How do you find the greatest common factor (GCF) among integers? And how do you find the lest common multiple (LCM) among integers?  More...


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Number classification

Last modified on 2016-03-10


Here is a classification of different number types:  More...


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Square & Cube Roots

Last modified on 2016-03-10


A square root of a number is a value that can be multiplied by itself to give the original number. For example, a square root of 9 is 3, because when 3 is multiplied by itself we get 9. Note that -3 is also a square root of 9, because -3 x -3  = 9.  More...


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Estimate square roots

Last modified on 2016-03-10


If you do not have a calculator, you can estimate a decimal approximation of the square root of a number. Here is how, using an example. Suppose you want to know the square root of 20.  More...


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Arithmetic Sequence

Last modified on 2013-08-17


A Sequence is a set of things (usually numbers) that are in order.

In an Arithmetic Sequence the difference between one term and the next is a constant.

Example: 1, 4, 7, 10, 13, 16, 19, 22, 25, ...

This sequence has a difference of 3 between each number.

Suppose in an arithmetic sequence:  More...


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Geometric Sequence

Last modified on 2016-03-02


A Sequence is a set of things (usually numbers) that are in order.

In a Geometric Sequence, each term is found by multiplying the previous term by a constant (called “common ratio”).

Example: 2, 4, 8, 16, 32, 64, 128, 256, ...  More...


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