Lesson: Challenging Problem Solving - 14t03

Advanced Number Properties: Know The Rules, Continued

[Page 14 of 37]

The following question requires that we identify two Number Properties relationships - neither Picking Numbers nor Backsolving will work here. Let's work through the problem below, using our knowledge of Number Properties to get to the correct answer. Review the question, and then proceed to the task below.

How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?
4
5
9
10
11
This question stem suggests that two Number Properties concepts will be central to solving this problem. What are they?

1:

2:

Our first rule involves multiples of 5. What do we know about multiples of 5? Use your knowledge of divisibility rules to complete the rule below, and then click Continue.

A number that is a multiple of 5 has a last digit that is a or a .

5, when multiplied by any integer, results in a number that ends in a 5 or in a 0:

Examples:

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