(7) Mr. Arboreta wants to plant fruit trees in a rectangular array. For each of the following numbers of trees, find all possible numbers of rows if each row is to have the same number of trees. a. 100 b. 12 c. 13 d.114 (8) Produce the least positive number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. (10) Arrange the digits 0 through 9 so that the number formed by the first (leftmost) digit is divisible by 1, the number formed by the first 2 (leftmost) digits is divisible by 2, the number formed by the first 3 (leftmost) digits is divisible by 3, and so forth. What is the 10-digit number? If you were only allowed to use the digits 1 through 9, what would the 9-digit number be?
(7) Mr. Arboreta wants to plant fruit trees in a rectangular array. For each of the following numbers of trees, find all possible numbers of rows if each row is to have the same number of trees.
a. 100
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b. 12
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c. 13
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d.114
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(8) Produce the least positive number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
(10) Arrange the digits 0 through 9 so that the number formed by the first (leftmost) digit is divisible by 1, the number formed by the first 2 (leftmost) digits is divisible by 2, the number formed by the first 3 (leftmost) digits is divisible by 3, and so forth. What is the 10-digit number? If you were only allowed to use the digits 1 through 9, what would the 9-digit number be?
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