Solve each problem. 1. Grace is preparing grab bags for her store's open house. She has 24 candles, 16 pens, and 40 figurines. Each grab bag will have the same number of items, and all the items in a bag will be the same. How many items the common factors of 24 , can Grace put in each bag?
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To find out how many items Grace can put in each grab bag, we need to figure out the common factors of the items she has. The common factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. However, we also need to check which of these factors can evenly divide the other quantities (16 pens and 40 figurines). - **The factors of 16** are 1, 2, 4, 8, and 16. - **The factors of 40** are 1, 2, 4, 5, 8, 10, 20, and 40. The common factors from 24, 16, and 40 are: 1, 2, 4, and 8. Thus, the maximum number of items Grace can put into each bag, while ensuring each bag has the same number, is 8. Each grab bag can contain 8 identical items.