Identify all whole number factors of 63.(1 point)
Responses
{1, 3, 9, 21, 63}
{1, 3, 9, 21, 63}
{1, 2, 3, 21, 63}
{1, 2, 3, 21, 63}
{1, 7, 9, 63}
{1, 7, 9, 63}
{1, 3, 7, 9, 21, 63}
{1, 3, 7, 9, 21, 63}
To identify all whole number factors of 63, we need to find the numbers that evenly divide 63 without leaving a remainder.
One way to do this is by starting with the number 1 and checking if it divides evenly into 63. If it does, we include it as a factor. Then we move on to the next number, 2, and repeat the process. We continue this until we reach the number itself, 63.
Let's go through the process step by step:
1 is a factor of 63 because 63 ÷ 1 = 63.
2 is not a factor of 63 because 63 ÷ 2 = 31.5 (not a whole number).
3 is a factor of 63 because 63 ÷ 3 = 21.
4 is not a factor of 63 because 63 ÷ 4 = 15.75 (not a whole number).
5 is not a factor of 63 because 63 ÷ 5 = 12.6 (not a whole number).
6 is not a factor of 63 because 63 ÷ 6 = 10.5 (not a whole number).
7 is a factor of 63 because 63 ÷ 7 = 9.
8 is not a factor of 63 because 63 ÷ 8 = 7.875 (not a whole number).
9 is a factor of 63 because 63 ÷ 9 = 7.
10 is not a factor of 63 because 63 ÷ 10 = 6.3 (not a whole number).
11 is not a factor of 63 because 63 ÷ 11 = 5.727272... (not a whole number).
12 is not a factor of 63 because 63 ÷ 12 = 5.25 (not a whole number).
13 is not a factor of 63 because 63 ÷ 13 = 4.846153... (not a whole number).
14 is not a factor of 63 because 63 ÷ 14 = 4.5 (not a whole number).
15 is not a factor of 63 because 63 ÷ 15 = 4.2 (not a whole number).
16 is not a factor of 63 because 63 ÷ 16 = 3.9375 (not a whole number).
17 is not a factor of 63 because 63 ÷ 17 = 3.705882... (not a whole number).
18 is not a factor of 63 because 63 ÷ 18 = 3.5 (not a whole number).
19 is not a factor of 63 because 63 ÷ 19 = 3.315789... (not a whole number).
20 is not a factor of 63 because 63 ÷ 20 = 3.15 (not a whole number).
21 is a factor of 63 because 63 ÷ 21 = 3.
...
63 is a factor of 63 because 63 ÷ 63 = 1.
So, the whole number factors of 63 are 1, 3, 7, 9, 21, and 63.
Therefore, the correct response is:
{1, 3, 7, 9, 21, 63}