Wednesday 5M Big Maths investigation - Abundant numbers

Subject area
Maths

Today's maths investigation is to find which numbers from 1 - 40 are abundant numbers.

To find the factors of a number, you have to find all the pairs of numbers that multiply together to give that number.

The factors of 48 are:

1 and 48

2 and 24

3 and 16

4 and 12

6 and 8

If we leave out the number we started with, 48, and add all the other factors, we get 76:

1+2+3+4+6+8+12+16+24=76

So .... 48 is called an abundant number because it is less than the sum of its factors (without itself). (48 is less than 76.)

https://nrich.maths.org/1011

 

Remember to work systematically and to record your working clearly.

 

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