Part A: find two numbers that have two three and five as factors. what other factors do these two numbers have in common
Part b. find three numbers that has 24 and 8 as factors what do these numbers have in common
Hint: Part A ends in 0
Part B: Multiples of 24 have 24 and 8 as factors.
What is 3x5? what is 3x3x5? what is 3x3x5x5?
b. what is 24x8? What is 24x8x8? what is 24x24x8?
Jon makes a bar graph that shows the number of dogs owned by numbers of his class. If the smallest number is 1 and the largest number is 4; what interval should Jon use?
To find numbers that have specific factors, we need to identify the factors of those numbers and then look for common factors.
Part A: To find two numbers that have 2, 3, and 5 as factors, we need to find the multiples of those numbers. Let's start with 2, 3, and 5:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, ...
Looking at the lists of multiples, we see that the numbers 6 and 30 have 2, 3, and 5 as factors. Now, let's find the common factors of these two numbers:
Common factors of 6: 1, 2, 3, 6
Common factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Therefore, the two numbers, 6 and 30, have the common factors 1, 2, 3, and 6.
Part B: To find three numbers that have 24 and 8 as factors, we need to find the multiples of those numbers. Let's start with 24 and 8:
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
From the lists of multiples, we can see that the number 24 is common to both lists. Therefore, any number that is a multiple of 24 will have 24 and 8 as factors.
For example, let's take three multiples of 24: 24, 48, and 72. All three numbers have 24 and 8 as factors.
So, the three numbers, 24, 48, and 72, have the common factors 1, 2, 3, 4, 6, 8, 12, 24.