 # Solutions to yesterday's starter

## Thank you for sharing the answers below.

Did you know a Perfect number is a positive integer that is equal to the sum of its divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.

## Maria (Hardwick) has explained her reasoning really clearly

To find a perfect number, all the factors except from the half and the number itself have to add up to the half so then you can add the half to the added numbers. For example:

The factors of 28 are 1,2,4,7,14 and 28. 14 is half of 28.
1+2=3
3+4=7
7+7=14
(14 is half of 28 so 28 is a perfect number)
14+14=28
That is how I found that 28 is a perfect number.

## A great answer from Zoe (Hardwick)

Here’s my answer for today’s Maths Challenge.

Another Perfect Number is 28, because 28’s factors are:

1  2  4  7  14  and 28

So, 1+2+4+7+14= 28

## Well done Alex (Hardwick)

I am Alex Sorrell from Miss Hagi's class in year 5.

Here's my solution for perfect number.

28 is a perfect number because the factors are 1, 2, 4 ,7, 14, 28 and if you add them together not including 28 it equals 28.

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