ich number has a factor of 7 ? a) 217 b) 841 c) 283 d) 421

Question

UpStudy AI · Accepted Answer

Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$217=7x$$
- step1: Swap the sides:
  $$7x=217$$
- step2: Divide both sides:
  $$\frac{7x}{7}=\frac{217}{7}$$
- step3: Divide the numbers:
  $$x=31$$
Solve the equation $$ 421=7x $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$421=7x$$
- step1: Swap the sides:
  $$7x=421$$
- step2: Divide both sides:
  $$\frac{7x}{7}=\frac{421}{7}$$
- step3: Divide the numbers:
  $$x=\frac{421}{7}$$
Solve the equation $$ 283=7x $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$283=7x$$
- step1: Swap the sides:
  $$7x=283$$
- step2: Divide both sides:
  $$\frac{7x}{7}=\frac{283}{7}$$
- step3: Divide the numbers:
  $$x=\frac{283}{7}$$
Solve the equation $$ 841=7x $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$841=7x$$
- step1: Swap the sides:
  $$7x=841$$
- step2: Divide both sides:
  $$\frac{7x}{7}=\frac{841}{7}$$
- step3: Divide the numbers:
  $$x=\frac{841}{7}$$
Let's analyze the results of the divisions:

1. For $$ 217 $$:
   $$
   217 = 7 \times 31
   $$
   This means $$ 217 $$ is divisible by $$ 7 $$.

2. For $$ 841 $$:
   $$
   841 = 7 \times \frac{841}{7} \approx 120.14
   $$
   This is not an integer, so $$ 841 $$ is not divisible by $$ 7 $$.

3. For $$ 283 $$:
   $$
   283 = 7 \times \frac{283}{7} \approx 40.43
   $$
   This is not an integer, so $$ 283 $$ is not divisible by $$ 7 $$.

4. For $$ 421 $$:
   $$
   421 = 7 \times \frac{421}{7} \approx 60.14
   $$
   This is not an integer, so $$ 421 $$ is not divisible by $$ 7 $$.

### Conclusion:
The only number among the options that has a factor of $$ 7 $$ is **217**.
217 has a factor of 7.

ich number has a factor of 7 ? a) 217 b) 841 c) 283 d) 421

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