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EastWind [94]
2 years ago
6

Critérios de divisibilidade dos números 2,3,4,5,6,8 e 10

Mathematics
1 answer:
san4es73 [151]2 years ago
3 0

Step-by-step explanation:

Los criterios de divisibilidad nos ayudan a saber de antemano cuándo un número natural es divisible por otro.

Ser divisible significa que cuando dividimos estos números, el resultado será un número natural y el resto será igual a cero.

Presentaremos los criterios de divisibilidad por 2, 3, 4, 5, 6, 7, 8, 9 y 10.

Divisibilidad por 2

Cada número cuyo dígito unitario sea par será divisible por 2, es decir, los números que terminan en 0, 2, 4, 6 y 8.

Ejemplo

El número 438 es divisible por 2 ya que termina en 8, que es un número par.

Divisibilidad por 3

Un número es divisible por 3 cuando la suma de sus dígitos es un número divisible por 3.

Ejemplo

Verifica que los números 65283 y 91277 sean divisibles por 3.

Solución

Sumando los dígitos de los números indicados, tenemos:

6 + 5 + 2 + 8 + 3 = 24

9 + 1 + 2 + 7 + 7 = 26

Dado que 24 es un número divisible por 3 (8. 3 = 24), entonces 65283 es divisible por 3. El número 26 no es divisible por 3, por lo que 91277 tampoco es divisible por 3.

Divisibilidad por 4

Para que un número sea divisible entre 4, sus dos últimos dígitos deben ser 00 o divisibles entre 4.

Ejemplo

¿Cuál de las siguientes opciones tiene un número que no es divisible por 4?

a) 35748

b) 20500

c

) 97235 d) 70832

Solución

Para responder a la pregunta, verifiquemos los dos últimos dígitos de cada opción:

a) 48 es divisible por 4 (12. 4 = 48).

b) 00 es divisible por 4.

c) 35 no es divisible por 4, ya que no hay un número natural que multiplicado por 4 sea igual a 35.

d) 32 es divisible por 4 (8.4 = 32)

Entonces la respuesta es la letra c. El número 97235 no es divisible por 4. S

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