## Tutoring on Factors Prime Factors And Least Common Multiples

Learning Objectives:

#### Understand and Apply Factors, Prime Factors and Least Common Multiples

Math Tutoring on Factors, Prime Factors, and Least Common Multiples

Factors of Natural Numbers (1, 2, 3, 4, 5 …):

Factors are the numbers that divide evenly into a number. This means a Factor divides into another number and there is no remainder.

If we let “N” be a Natural Number and, then x and y are Factors of N.

A Prime Number is a natural number greater than 1 that only has two factors: one and itself. Example: 2, 3, 5, 7, 11, 13, 17, 19, 23 … So the process of factorization of an integer to a series of Prime Numbers is called Prime Factorization and the factors are called Prime Factors.

A Composite Number is a natural number that has more than two factors. The number ‘1’ is either Prime or Composite.

The (LCM) Least Common Multiple or Lowest Common Multiple of two rational number ‘a’ and ‘b’ is the smallest positive rational number that is an integer multiple of both ‘a’ and ‘b’. Since it is multiple, it can be divided by ‘a’ and ‘b’ without a remainder.

The method of writing out multiplies is only practical for determining the LCM of small numbers. As a result, we have a different way to build the LCM of two numbers by analyzing Prime Factors.

The LCM must contain all of the different factors in the terms and each factor must be repeated the maximum number of times it occurs in any one of the terms.

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Hook Questions:

1.    What is the Factorization Process of a number?

2.    What are called Prime Factors? How is it obtained?

3.    What is the Least Common Multiple?

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