To determine if 313756 is divisible by 9, we use the rule of divisibility for 9. This rule states that a number is divisible by 9 if the sum of its digits is also divisible by 9.
Let's follow the steps to check:
1. Calculate the sum of the digits of 313756.
- The digits of 313756 are: [tex]\[3, 1, 3, 7, 5, 6\][/tex]
2. Add the digits together:
[tex]\[
3 + 1 + 3 + 7 + 5 + 6
\][/tex]
- Perform the addition step-by-step:
[tex]\[
3 + 1 = 4 \\
4 + 3 = 7 \\
7 + 7 = 14 \\
14 + 5 = 19 \\
19 + 6 = 25
\][/tex]
So, the sum of the digits is 25.
3. Check if the sum (25) is divisible by 9:
- To check divisibility by 9, we see whether 25 can be evenly divided by 9.
- 25 divided by 9 gives approximately 2.7777, which is not an integer.
- This means 25 is not exactly divisible by 9.
Therefore, since the sum of the digits 25 is not divisible by 9, the number 313756 is also not divisible by 9.
Answer:
B. No
