I am a multiple of 10. My factors include an even # & an odd #. I am greater than 3 x 5 and less than 4 x 7. What number and I?
What is the only multiple of 10 between 15 and 28?
What are its factors?
20
24
To find the answer, we need to start by determining the range of numbers that satisfy the given conditions.
We know that the number is a multiple of 10, so it must end in 0. Based on the given condition that it is greater than 3 x 5 and less than 4 x 7, we can conclude that it is greater than 15 and less than 28.
Next, we need to determine the factors of this number. Since the number is even, we know it must have 2 as a factor. Additionally, since the factors include an odd number, it cannot be divisible only by 2.
To find a number that satisfies all the given conditions, we can list the multiples of 10 between 15 and 28 and check whether they have both an even number and an odd number as factors:
20: Factors include 2 (even) and 10 (even).
30: Factors include 2 (even) and 15 (odd).
40: Factors include 2 (even) and 20 (even).
Among these numbers, only 30 satisfies the conditions. Therefore, the number you are is 30.