there are two numbers between 1 and 500 hundred that are divisible by the numbers 2,3,5 and 7? what are they
what is 2x3x5x7? Ans 210
what is 2x2x3x5x7? answer 420
To find the two numbers between 1 and 500 that are divisible by the numbers 2, 3, 5, and 7, you can follow these steps:
Step 1: Determine the numbers that are divisible by both 2 and 3.
- To find the numbers divisible by 2, we consider every other number, starting from 2: 2, 4, 6, 8, ...
- To find the numbers divisible by 3, we sum up the digits of each number and check if the sum is divisible by 3. For example, 4 has a digit sum of 4, which is not divisible by 3, so it's not considered. But 6 has a digit sum of 6, which is divisible by 3, so it's considered.
Step 2: Determine the numbers divisible by both 2, 3, and 5.
- To find the numbers divisible by 5, we check if they end with 0 or 5. From the results obtained in Step 1, we consider the numbers ending with 0 and 5.
Step 3: Determine the numbers divisible by 2, 3, 5, and 7.
- To find the numbers divisible by 7, we subtract twice the last digit from the remaining leading truncated number. If the result is divisible by 7, then the number is divisible by 7. From the results obtained in Step 2, we apply this rule to find the numbers divisible by 7.
By following these steps, we can identify the two numbers between 1 and 500 that meet the requirements.