Questions: Is this second number a factor of the first number?
36: 13
Yes No
Question 49 of 67
This test: 57 points possible
This question: 1 point(s) possible
Transcript text: Is this second number a factor of the first number?
36: 13
Yes No
Question 49 of 67
This test: 57 points possible
This question: 1 point(s) possible
Solution
Solution Steps
To determine if the second number is a factor of the first number, we need to check if the first number is divisible by the second number without leaving a remainder. This can be done using the modulus operation.
Step 1: Determine Divisibility
To determine if 13 is a factor of 36, we need to check if 36 is divisible by 13 without leaving a remainder. This can be expressed mathematically as checking if \( 36 \mod 13 = 0 \).
Step 2: Calculate the Modulus
Calculate the modulus of 36 divided by 13:
\[
36 \mod 13 = 10
\]
Since the remainder is 10, which is not equal to 0, 13 is not a factor of 36.
Final Answer
The answer is No, 13 is not a factor of 36. \(\boxed{\text{No}}\)