What is the sum of all the numbers less than 496 that devise equally into 496
To find the sum of all the numbers less than 496 that divide equally into 496, we can follow these steps:
1. List all the numbers less than 496.
The numbers less than 496 are 1, 2, 3, 4, ..., 495.
2. Check each number to see if it divides equally into 496.
For each number from 1 to 495, check if it divides evenly into 496 without leaving a remainder.
3. If a number divides evenly into 496, add it to the running total.
If a number divides evenly into 496, add it to the running total.
4. Calculate the final sum.
Once you have checked all the numbers and added the ones that divide evenly into 496, you will have the final sum.
Let's go through the steps to find the sum of all the numbers less than 496 that divide equally into 496:
1. List all the numbers less than 496:
The numbers less than 496 are 1, 2, 3, 4, ..., 495.
2. Check each number to see if it divides equally into 496:
- 1 divides evenly into 496 since 496 divided by 1 equals 496.
- 2 divides evenly into 496 since 496 divided by 2 equals 248.
- 3 does not divide evenly into 496 since 496 divided by 3 equals 165 with a remainder of 1.
- 4 divides evenly into 496 since 496 divided by 4 equals 124.
- 5 does not divide evenly into 496 since 496 divided by 5 equals 99 with a remainder of 1.
- 6 does not divide evenly into 496 since 496 divided by 6 equals 82 with a remainder of 4.
- ...
Continue checking each number up to 495.
3. Add the numbers that divide evenly into 496 to the running total:
- 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496.
Add each number that divides evenly into 496 to get the running total.
4. Calculate the final sum:
The final sum of all the numbers less than 496 that divide equally into 496 is 496.
Therefore, the sum of all the numbers less than 496 that divide equally into 496 is 496.
To find the sum of all the numbers less than 496 that divide equally into 496, you need to find all the factors of 496 and add them together.
Step 1: Find the factors of 496
To find the factors, you can start by dividing 496 by 2 and checking if it divides evenly. If it does, then 2 is a factor. Repeat this process for larger numbers until you reach the square root of 496. Include all integers from 1 to the square root of 496 as factors.
The factors of 496 are: 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496
Step 2: Add up all the factors
Now that we have all the factors, we can add them together to find the sum.
Sum = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 + 496 = 992
Therefore, the sum of all the numbers less than 496 that divide equally into 496 is 992.
This was answered last night.
https://www.jiskha.com/questions/1803104/What-is-the-sum-of-all-numbers-less-than-496-that-devise-evenly-into-496