Identify the two numbers less than 20 with the most factors.explain how you solve the problem
How about 16 and 18?
The numbers must be even. Does 14 or 12 have more factors?
To identify the two numbers less than 20 with the most factors, we will first need to find the factors of each number less than 20 and determine the count of factors for each number.
Here's how you can solve this problem:
1. Start with the first number, which is 1. It has only one factor, which is 1.
2. Move on to the next number, which is 2. It has two factors, 1 and 2.
3. Continue this process for each number up to 20. Here is a table showing the factors for each number less than 20:
Number: Factors:
1 1
2 1, 2
3 1, 3
4 1, 2, 4
5 1, 5
6 1, 2, 3, 6
7 1, 7
8 1, 2, 4, 8
9 1, 3, 9
10 1, 2, 5, 10
11 1, 11
12 1, 2, 3, 4, 6, 12
13 1, 13
14 1, 2, 7, 14
15 1, 3, 5, 15
16 1, 2, 4, 8, 16
17 1, 17
18 1, 2, 3, 6, 9, 18
19 1, 19
4. Count the number of factors for each number and find the two numbers with the most factors. From the table above, we can see that the two numbers with the most factors are:
- 12: It has 6 factors (1, 2, 3, 4, 6, and 12).
- 18: It also has 6 factors (1, 2, 3, 6, 9, and 18).
Therefore, the two numbers less than 20 with the most factors are 12 and 18.