To find the factors of 148, we need to identify all the whole numbers that divide 148 without leaving a remainder.
Let's go through the process step-by-step:
1. Start with the smallest whole number:
- 1 is a factor of every integer, including 148. So, one of the factors is 1.
2. Continue with the next integers:
- 2 is a factor of 148 because 148 is an even number (divisible by 2). Division of 148 by 2 equals 74, so both 2 and 74 are factors.
3. Check for the next integers:
- 4 is a factor because 148 divided by 4 equals 37 exactly. Therefore, both 4 and 37 are factors.
4. Check larger integers up to the square root of 148:
- We verify that none of the integers between 4 and the square root of 148 (approximately 12.16) divide 148 exactly, except already found factors.
5. Include the original number:
- Finally, the number itself, 148, is a factor of 148.
So, the complete list of factors of 148 is:
[tex]\[1, 2, 4, 37, 74, 148\][/tex]
