2:25 PM 15) Is the number $$ 307,566,714 $$ divisible by 6 ?

Question

UpStudy AI · Accepted Answer

**Step 1:** Check divisibility by $$2$$.  
A number is divisible by $$2$$ if its last digit is even. The last digit of $$307,566,714$$ is $$4$$, which is even, so the number is divisible by $$2$$.

**Step 2:** Check divisibility by $$3$$.  
A number is divisible by $$3$$ if the sum of its digits is divisible by $$3$$.

List the digits:  
$$
3,\ 0,\ 7,\ 5,\ 6,\ 6,\ 7,\ 1,\ 4
$$

Calculate the sum:  
$$
3 + 0 + 7 + 5 + 6 + 6 + 7 + 1 + 4 = 39
$$

Since $$39 \div 3 = 13$$ is an integer, the sum $$39$$ is divisible by $$3$$.

**Conclusion:**  
The number $$307,566,714$$ is divisible by both $$2$$ and $$3$$. Therefore, it is divisible by $$6$$.
$$307,566,714$$ is divisible by $$6$$.

2:25 PM
15) Is the number divisible by 6 ?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Arithmetic Questions

2:25 PM 15) Is the number divisible by 6 ?