Question

Philip has a packet of stickers. There are more than 10 stickers in the packet. He shares his stickers equally with five people. Phillip says, " The number of stickers in the packet was prime". Is Phillip correct ? Write YES or NO. Explain your answer.

Answer 1

If the number of stickers were prime, Philip would only have 2 options:
1-Give all the stickers to one person
2-Give one sticker to each person

so the people should be ONLY ONE, or 10+

but they were 5.

so it's false

Answer 2

No, the number of stickers was not prime because if you share the stickers equally with no leftovers then the number can't be prime. because prime numbers can only have two factors which is 1 and itself. Because Philip is sharing with 5 people something divided by 5 will equal the amount each person gets with no leftovers, meaning that the amount of stickers each person gets times 5 equals the total amount of stickers. since one of the factors are 5 the number can't be prime.