Entre los siguientes números 235, 360, 487, 564, 681, 792, 854, 904, encuentre los que son múltiplos de 2, 3, 5 y 10.
Understand the Problem
La pregunta pide identificar, entre los números dados (235, 360, 487, 564, 681, 792, 854, 904), cuáles son múltiplos de 2, 3, 5 y 10. Esto implica verificar la divisibilidad de cada número por estos cuatro factores.
Answer
360
Answer for screen readers
360
Steps to Solve
- Check divisibility by 2
A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
The numbers divisible by 2 are: 360, 564, 792, 854, 904.
- Check divisibility by 3
A number is divisible by 3 if the sum of its digits is divisible by 3.
- For 235: $2 + 3 + 5 = 10$, which is not divisible by 3.
- For 360: $3 + 6 + 0 = 9$, which is divisible by 3.
- For 487: $4 + 8 + 7 = 19$, which is not divisible by 3.
- For 564: $5 + 6 + 4 = 15$, which is divisible by 3.
- For 681: $6 + 8 + 1 = 15$, which is divisible by 3.
- For 792: $7 + 9 + 2 = 18$, which is divisible by 3.
- For 854: $8 + 5 + 4 = 17$, which is not divisible by 3.
- For 904: $9 + 0 + 4 = 13$, which is not divisible by 3.
The numbers divisible by 3 are: 360, 564, 681, 792.
- Check divisibility by 5
A number is divisible by 5 if its last digit is 0 or 5.
The numbers divisible by 5 are: 235, 360.
- Check divisibility by 10
A number is divisible by 10 if its last digit is 0.
The number divisible by 10 is: 360.
- Find numbers divisible by 2, 3, 5, and 10
We need to find the numbers that appear in all of the lists from steps 1-4. The only number that satisfies all conditions is 360.
360
More Information
A number divisible by 10 is always divisible by 2 and 5. We only needed to check divisibility by 3 additionally.
Tips
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