Question

Chanasia has 30 beads. She wants to put them in boxes so that each box will contain the same whole number ofbeads. Use factors to list all the different ways she can put the beads into boxes.Hints1. Find the factors of 30 from least to greatest, then greatest to least.2. Put the factors into pairs.3. Each pair will be used twice.4. The left side should be increasing.5. The right side should be decreasing.box with beadsboxes with beads eachboxes with beads eachboxes with beads eachboxes with beads eachboxes with beads eachboxes with beads eachboxes with bead each

Answer 1

Factors of 30 (from least to greatest): 1, 2, 3, 5, 6, 10, 15, 30

Factors of 30 (from greatest to least): 30, 15, 10, 6, 5, 3, 2, 1

Combining the elements of these two ordered lists, we can group the factors as follows: (1, 30), (2, 15), (3, 10), (5, 6), (6,5), (10, 3), (15, 2), (30, 1)