# What are the Basic Building Blocks of Mathematics, Integers and more

Updated on December 8, 2012

## Numbers!

Numbers are everywhere in math and they can be sorted into a variety of different titles and attributes.

It all starts with ten very simple things. They are one of the first concepts we teach children at a young age. My two year old like to sing song them. They are Digits

The digits are any of these ten numbers that all other numbers are created from 0,1,2,3,4,5,6,7,8,9.

## What Type of Number is it?

Integer - all positive or negative numbers and zero

integers do not include fractions, decimals, or mixed numbers

Natural or Counting Numbers - The positive integers we use for counting 1,2, 3,4

Consecutive Numbers - numbers that are next to each other in order

## Positive and Negative Numbers

Positive Numbers - any number greater than zero, to the right of zero on a number line.

Positive numbers are assumed positive without a sign in front of the numbers unlike negative numbers but is it not wrong to write a + sign in front of a positive number.

Negative Numbers - Any number less than zero or to the left of zero on the number line.

Negative numbers must all have a minus sign in front of the number

## Even & Odd Numbers

Any integer (theres that word again!) that can be divided by 2 without a remainder is an Even Number

That means that any integer that ends in 0, 2, 4, 6, or 8 is an even number.

Any integer that cannot be divided by 2 without leaving a remainder is an odd number.

Any integer that ends in 1,3,5,7,9 is an odd number.

## Prime & Composite Numbers

Prime - a number that can only be divided by 1 and itself.

2, 3, 5, 7, 11, 13, 17 and so on

note that 2 is the only even prime number

Composite - Any number that has more than two factors.

1 is neither prime nor composite!

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