Factors of Numbers

Author and programmer: Ron Barrow

This applet breaks any number from 1 to 9000 into all its factors, including prime numbers, square numbers, cube numbers, higher powers, as well as perfect, abundant and deficient numbers. The prime factorisation and the sum of proper factors of each number is also shown. A good start in learning about the theory of numbers.

UK Years 7-9, KS3, Foundation GCSE Mathematics - Number


Instructions below    Waldomaths video    See also: Prime Numbers - the Sieve of Eratosthenes    Prime Factors, HCF, LCM

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How to Use this Applet

If you click on any number in the grid you'll see that number displayed on the right, together with all its factors.
There is a drop-down menu so that you can get all the numbers from 1 to 9000, in batches of 150. You can use the program to investigate which numbers have factors, how many they have, whether they are square numbers, cube numbers, higher powers, etc.
Please notice that the factor sum calculated is the sum of proper factors; the number itself is not included (otherwise the sum would be much larger!). You can also see the prime factorisation of the number.
Look carefully! You can find out a great deal about different types of numbers. You may wish to investigate further about perfect, abundant and deficient numbers. Enjoy!