In this section we ** learn about prime factorisation**. In other words we learn

Given a whole number \(n\), a ** prime factor** of \(n\) is a

The ** first few prime numbers** are:
\[2,\ 3,\ 5,\ 7,\ 11,\ 13,\ 17,\ 19, \dots \]
Every whole number, greater than \(1\), is either one of the prime numbers or can be written as a

The ** fundamental theorem of arithmetic** states:

This means that every whole number, that is greater than \(1\) can be written as a product of its prime factors (no exceptions). The method for doing this is explained in the following tutorial.

Write each of the following *whole numbers* as its *product of prime factors*:

- \(36\)
- \(90\)
- \(196\)
- \(900\)
- \(384\)
- \(3600\)
- \(210\)
- \(540\)
- \(144\)
- \(180\)

We find the following results:

- \(36 = 2^2\times 3^2\)
- \(90 = 2\times 3^2\times 5\)
- \(196 = 2^2\times 7^2\)
- \(900 = 2^2\times 3^2 \times 5^2\)
- \(384 = 2^7\times 3\)
- \(3600 = 2^4 \times 3^2 \times 5^2\)
- \(210 = 2\times 3\times 5\times 7\)
- \(540 = 2^2 \times 3^3 \times 5\)
- \(144 = 2^4 \times 3^2\)
- \(180 = 2^2 \times 3^2 \times 5\)

Scan this QR-Code with your phone/tablet and view this page on your preferred device.

**Subscribe Now** and view all of our **playlists & tutorials**.