what characteritic do the numbers 8,10,15,26 and 33 have that the numbers 5,9,16,18 and 24 don't have

Factorize each of the numbers and (hint) count the number of factors of each number.

To find the characteristic that the numbers 8, 10, 15, 26, and 33 have that the numbers 5, 9, 16, 18, and 24 don't have, we need to examine the numbers and look for any patterns or common features.

One approach is to compare the factors or divisors of the numbers. A factor is a number that evenly divides into another number without leaving a remainder. By examining the factors, we might be able to identify a characteristic unique to the first set of numbers.

Let's list the factors for each number:

Factors of 8: 1, 2, 4, 8
Factors of 10: 1, 2, 5, 10
Factors of 15: 1, 3, 5, 15
Factors of 26: 1, 2, 13, 26
Factors of 33: 1, 3, 11, 33

Factors of 5: 1, 5
Factors of 9: 1, 3, 9
Factors of 16: 1, 2, 4, 8, 16
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Upon examining the factors, we can see that the numbers 8, 10, 15, 26, and 33 all have a prime factor that is greater than 5. Prime factors are factors that are prime numbers (divisible only by 1 and themselves). In this case, the prime factors are 2 (for 8 and 26) and 3 (for 15 and 33).

On the other hand, the numbers 5, 9, 16, 18, and 24 don't have any prime factors greater than 5.

Therefore, the characteristic that the numbers 8, 10, 15, 26, and 33 have that the numbers 5, 9, 16, 18, and 24 don't have is that they each have at least one prime factor greater than 5.