for numbers less than 40, list each pair of numbers that has a greatest common factor of 12???
Pair of numerals or numbers? 12 is a number, and 1 and 2 from that number are numerals.
12, 24, 36?
1,2,3,4,6,12
1,2,3,4,6,12
To find pairs of numbers that have a greatest common factor of 12 and are less than 40, you can start by listing the prime factors of 12, which are 2, 2, and 3. Then you can consider all possible combinations of these factors to find numbers that multiply to give a product less than 40.
Here's how you can find the pairs:
1. Start by listing all the numbers less than 40.
In this case, the numbers less than 40 are: 1, 2, 3, 4, 5, ..., 38, 39.
2. Consider each number and check if it has any common factors with 12.
- For each number, if the prime factorization has at least two twos and one three, then it has a greatest common factor of 12.
Using this approach, let's find the pairs of numbers that have a greatest common factor of 12 and are less than 40:
- Among the numbers less than 40, the pairs that satisfy the requirement are:
(1, 12), (2, 12), (3, 12), (4, 12), (5, 12), (6, 12), (7, 12),
(8, 12), (9, 12), (10, 12), (11, 12), (12, 12),
(12, 24), (12, 36).
Note: In these pairs, one number is always 12 because 12 is a factor of itself.