What characteristic do the numbers 8, 10, 15, 26, and
33 have that the numbers 5, 9, 16, 18, and 24 don’t
have? (Hint: List the factors of the numbers.) Give two
more numbers that have this characteristic.
assistance needed
Please type your subject in the School Subject box. Any other words are likely to delay responses from a teacher who knows that subject well.
8 = 2*2*2
10 = 2*5
15 = 3*5
26 = 2*13
33 = 3*11
5 is prime
9 = 3*3
16 = 2*2*2*2
18 = 2*3*3
24 = 2*2*3
From these factors, I do not see any factor that is common to all the numbers in one group that differ from all the numbers of the other group. However, most typical of the second group are factors that are squared (the number multiplied by itself). Only one in the first group involves a square.
This is assuming that there is no typo in the numbers you provided.
I hope this helps. Thanks for asking.
To determine 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 list the factors of each set of numbers and compare them.
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
From comparing the factors, we can see that the characteristic the first set of numbers has, which the second set lacks, is that they each have exactly four factors.
Two more numbers that have this characteristic are 20 and 32.
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 32: 1, 2, 4, 8, 16, 32