Entre los siguientes números, encuentre los que son múltiplos de 2, 3, 5 y 10: 235, 360, 487, 564, 681, 792, 854, 904

Steps to Solve

1. Divisibility rule for 2

A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). 2. Divisibility rule for 3

A number is divisible by 3 if the sum of its digits is divisible by 3. 3. Divisibility rule for 5

A number is divisible by 5 if its last digit is either 0 or 5. 4. Divisibility rule for 10

A number is divisible by 10 if its last digit is 0.

5. Checking each number: Now we need to apply these rules to each number provided: 235, 360, 487, 564, 681, 792, 854, 904

6. Analyzing 235

Divisible by 5 (ends in 5). Not divisible by 2 or 10. Sum of digits is $2 + 3 + 5 = 10$, which is not divisible by 3.

7. Analyzing 360

Divisible by 2 (ends in 0). Divisible by 5 (ends in 0). Divisible by 10 (ends in 0). Sum of digits is $3 + 6 + 0 = 9$, which is divisible by 3.

8. Analyzing 487

Not divisible by 2 (ends in 7). Not divisible by 5 or 10. Sum of digits is $4 + 8 + 7 = 19$, which is not divisible by 3.

9. Analyzing 564

Divisible by 2 (ends in 4). Not divisible by 5 or 10. Sum of digits is $5 + 6 + 4 = 15$, which is divisible by 3.

10. Analyzing 681

Not divisible by 2 (ends in 1). Not divisible by 5 or 10. Sum of digits is $6 + 8 + 1 = 15$, which is divisible by 3.

11. Analyzing 792

Divisible by 2 (ends in 2). Not divisible by 5 or 10. Sum of digits is $7 + 9 + 2 = 18$, which is divisible by 3.

12. Analyzing 854

Divisible by 2 (ends in 4). Not divisible by 5 or 10. Sum of digits is $8 + 5 + 4 = 17$, which is not divisible by 3.

13. Analyzing 904

Divisible by 2 (ends in 4). Not divisible by 5 or 10. Sum of digits is $9 + 0 + 4 = 13$, which is not divisible by 3.

14. Final Result

Multiples of 2: 360, 564, 792, 854, 904 Multiples of 3: 360, 564, 681, 792 Multiples of 5: 235, 360 Multiples of 10: 360