What is a 2 digit number 19 is a factor and the sum of its digits is 12
57
To find the 2-digit number that satisfies these conditions, we need to consider the factors of 19 and the sum of the digits.
First, let's think about the factors of 19. The factors of 19 are 1 and 19 because it is a prime number.
Now, let's find the possible digits that can be summed to give 12. Since we are looking for a 2-digit number, the sum of the digits must be less than or equal to 18 (9 + 9). We can try different combinations of two digits that add up to 12. The possible pairs are (1, 11), (2, 10), (3, 9), (4, 8), (5, 7), and (6, 6).
Next, let's check if any of these pairs satisfy both conditions (19 as a factor and sum of digits is 12).
For the pair (1, 11), the sum is 1 + 1 + 1 = 3 which does not equal 12, so it is not a valid choice.
For the pair (2, 10), the sum is 2 + 1 + 0 = 3 which does not equal 12, so it is not a valid choice.
For the pair (3, 9), the sum is 3 + 9 = 12. Let's check if 39 is divisible by 19. To do this, we can perform the division or use division rules. Since 39 is not divisible by 19 (remainder ≠ 0), it is not a valid choice.
For the pair (4, 8), the sum is 4 + 8 = 12. Let's check if 48 is divisible by 19. To do this, we can perform the division or use division rules. Since 48 is not divisible by 19 (remainder ≠ 0), it is not a valid choice.
For the pair (5, 7), the sum is 5 + 7 = 12. Let's check if 57 is divisible by 19. To do this, we can perform the division or use division rules. Since 57 is not divisible by 19 (remainder ≠ 0), it is not a valid choice.
Lastly, for the pair (6, 6), the sum is 6 + 6 = 12. Let's check if 66 is divisible by 19. To do this, we can perform the division or use division rules. Since 66 is not divisible by 19 (remainder ≠ 0), it is not a valid choice.
After checking all possible pairs, we find that there is no 2-digit number that satisfies both conditions.
Therefore, there is no 2-digit number such that 19 is a factor and the sum of its digits is 12.