SOLUTION: I am a 2- digit odd number. I am a factor of 84 and also a multiple of 7. What number is this?

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Question 1042195: I am a 2- digit odd number.
I am a factor of 84 and also a multiple of 7.
What number is this?
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
factors of 84 are:
1 * 84
2 * 42
3 * 28
4 * 21
6 * 14
7 * 12

positive multiples of 7 are:
7,14,21,28,35,42,49,56,63,70,77,84

the factors of 84 that are also multiples of 7 are:

84,42,28,21,14,7

you are given that the number is odd.

the odd ones are 7 and 21.

it could be either.

7 is a factor of 84.
7 is a multiple of 7.
7 is odd.

21 is a factor of 84.
21 is a multiple of 7.
21 is odd.

if you assume that the multiple of 7 can't be 7, then the number has to be 21.






Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
I am a 2- digit odd number.
I am a factor of 84 and also a multiple of 7.
What number is this?
Factors of 84 that are multiples of 7: 7, 14, 21, 42, 84.

However, the only 2-digit factor is  

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