#
A boy with a collection of marbles realizes that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left. Can you explain why the boy cannot have prime number of marbles?

1
by namrata123

Log in to add a comment

by namrata123

Log in to add a comment

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

number of marbles is 5n+2 or 6m+2 ,i.e., a multiple of 5 or 6 plus 2 marbles. Hence number of marbles must be a multiple 5x6 or 30 plus even number 2.

i.e., 30p+2=2(15p+1) is an even number.

Hence number of marbles cannot be a prime number, because it is an even number.

i.e., 30p+2=2(15p+1) is an even number.

Hence number of marbles cannot be a prime number, because it is an even number.