To determine which number is a factor of 30 from the given choices (8, 7, 10, 4), we need to identify the number that divides 30 exactly without leaving a remainder. Let's check each option step by step.
1. Check if 8 is a factor of 30:
To find out if 8 is a factor of 30, divide 30 by 8.
[tex]\[
30 \div 8 = 3 \text{ remainder } 6
\][/tex]
Since there is a remainder, 8 is not a factor of 30.
2. Check if 7 is a factor of 30:
To find out if 7 is a factor of 30, divide 30 by 7.
[tex]\[
30 \div 7 = 4 \text{ remainder } 2
\][/tex]
Since there is a remainder, 7 is not a factor of 30.
3. Check if 10 is a factor of 30:
To find out if 10 is a factor of 30, divide 30 by 10.
[tex]\[
30 \div 10 = 3 \text{ remainder } 0
\][/tex]
Since there is no remainder, 10 is indeed a factor of 30.
4. Check if 4 is a factor of 30:
To find out if 4 is a factor of 30, divide 30 by 4.
[tex]\[
30 \div 4 = 7 \text{ remainder } 2
\][/tex]
Since there is a remainder, 4 is not a factor of 30.
Among the given numbers (8, 7, 10, 4), the number that is a factor of 30 is:
[tex]\[
\boxed{10}
\][/tex]
