Question

A teacher says that there are fewer than 30 students but more than 20 in a classroom. The children can be divided into groups of two, three, four, six, and eight with no leftovers. How many students are there?

Need steps

Answer 1

24 students

Explanation:

- I would suggest making a list of all numbers between 20-30.

21 (divisible by only 3) = wrong

22 (divisible by only 2) = wrong

23 (not divisible) = wrong

24 (divisible by 2, 3, 4, 6, and 8) = correct

25 (not divisible) = wrong

26 (divisible by only 2) = wrong

27 (divisible by only 3) = wrong

28 (divisible by only 2 and 4) = wrong

29 (not divisible) = wrong

- Now, find if they factor into 2, 3, 4, 6, and 8. I will do this, but read what I put.

- Hope this helps! If you would like a further explanation please let me know.