Jamal is leading a group of 119 tourists through a museum. He wants to divide the tourists into smaller groups of equal size. Which number of tourists will divide the group evenly?
A) 6
B) 7
C) 13
D) 14
Keep dividing 119 by each number, starting with 2. Hint: each group will have less than 10 people.
To find the number of tourists that will divide the group evenly, we need to find a number that evenly divides 119. Here's how you can do it:
Start by listing out the factors of 119. Factors are numbers that divide evenly into another number. Determine which of the given options is a factor of 119:
A) 6: 119 ÷ 6 = 19.83 (not a whole number)
B) 7: 119 ÷ 7 = 17 (whole number)
C) 13: 119 ÷ 13 = 9.15 (not a whole number)
D) 14: 119 ÷ 14 = 8.5 (not a whole number)
From this calculation, we can see that option B, 7, is the only number that evenly divides 119. Therefore, the correct answer is B) 7.