5. wE24 Check the divisibility of the following. $$ \begin{array}{lll} ext { a. } 1816 \div 4 & ext { b. } 2638 \div 6 & ext { c. } 62873 \div\end{array} $$

Question

5. wE24 Check the divisibility of the following. $$ \begin{array}{lll}	ext { a. } 1816 \div 4 & 	ext { b. } 2638 \div 6 & 	ext { c. } 62873 \div\end{array} $$

UpStudy AI · Accepted Answer

**a. Divisibility of $$1816$$ by $$4$$:**

A number is divisible by $$4$$ if its last two digits form a number that is divisible by $$4$$.  
The last two digits of $$1816$$ are $$16$$.  
Since  
$$
16 \div 4 = 4,
$$  
$$16$$ is divisible by $$4$$. Therefore,  
$$
1816 \div 4 = 454,
$$  
and $$1816$$ is divisible by $$4$$.

---

**b. Divisibility of $$2638$$ by $$6$$:**

A number is divisible by $$6$$ if it is divisible by both $$2$$ and $$3$$.

- **Divisibility by $$2$$:**  
  A number is divisible by $$2$$ if its last digit is even. The last digit of $$2638$$ is $$8$$, so it is divisible by $$2$$.

- **Divisibility by $$3$$:**  
  A number is divisible by $$3$$ if the sum of its digits is divisible by $$3$$.  
  For $$2638$$, the sum of the digits is:  
  $$
  2 + 6 + 3 + 8 = 19.
  $$  
  Since $$19$$ is not divisible by $$3$$, $$2638$$ is not divisible by $$3$$.

Since $$2638$$ fails the divisibility test for $$3$$, it is not divisible by $$6$$.

---

**c. Divisibility of $$62873$$ by $$8$$:**

A number is divisible by $$8$$ if the number formed by its last three digits is divisible by $$8$$.  
The last three digits of $$62873$$ are $$873$$.

To check if $$873$$ is divisible by $$8$$, divide $$873$$ by $$8$$:
$$
873 \div 8 = 109 \text{ with a remainder of } 873 - (8 \times 109) = 873 - 872 = 1.
$$
Since there is a remainder, $$873$$ is not divisible by $$8$$. Thus, $$62873$$ is not divisible by $$8$$.
**a.** $$1816$$ is divisible by $$4$$. **b.** $$2638$$ is not divisible by $$6$$. **c.** $$62873$$ is not divisible by $$8$$.

wE24 Check the divisibility of the following.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Arithmetic Questions