Final answer:
Factors of 424,380 from the given list include 2, 3, 4, 5, and 10. The numbers 8 and 9 are not factors of 424,380 because they do not divide the number evenly.
Step-by-step explanation:
The question asks us to identify which of the following numbers are factors of 424,380: 2, 3, 4, 5, 8, 9, and 10. A factor is a number that divides another number without leaving a remainder. To determine if each number is a factor of 424,380, we perform division.
- 2 is a factor because 424,380 is even and divisible by 2.
- 3 is a factor because the sum of the digits of 424,380 (4+2+4+3+8+0=21) is divisible by 3.
- 4 is a factor because the last two digits form the number 80, which is divisible by 4.
- 5 is a factor because the last digit is 0 or 5.
- 8 is not a factor because 380 (the last three digits) is not divisible by 8.
- 9 is not a factor because the sum of the digits (21) is not divisible by 9.
- 10 is a factor because the last digit is 0.