In this tutorial, we
shall look at a few things:

I. Prime numbers and
prime factors.

II. Index forms and
common factors.

III. Highest common
factors (HCF).

IV. Lowest common
multiples (LCM).

**Objectives**

I. To be able
to define and identify prime numbers.

II. To have a
better understanding of what factors are – and also find the factors of a given
whole number.

III. To be
able to express a number as a product of its factors in index form, and also find the
highest common factor (HCF) of two or more numbers.

IV. To know
what a multiple is; to write down multiples of a given number, and find the lowest common multiple of two or more whole numbers.

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**Keywords**

I.

**Factor**– A number that divides into another number without a remainder.
II.

**Prime numbers**– These are numbers that have only two factors: 1 and itself.
III.

**Prime Factors**– These are simply factors that are prime.
IV.

**Highest Common Factor (HCF)**– The biggest number that will divide two or more numbers.
V.

**Multiple**– The result of multiplying factors together.
VI.

**Lowest Common Multiple (LCM)**–The smallest number that two or more numbers will divide; it is the smallest of the common multiples of a given set of numbers.
VII.

**Divisible**– Able to be divided without a remainder.
VIII.

**Index**– Index means power.