Q: What are the factor combinations of the number 24,123,631?
A:
Positive:
1 x 241236317 x 344623349 x 492319
Negative:
-1 x -24123631-7 x -3446233-49 x -492319
A:
Positive:
1 x 241236317 x 344623349 x 492319
Negative:
-1 x -24123631-7 x -3446233-49 x -492319
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 24,123,631, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 24,123,631 | |
-1 | -24,123,631 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,123,631.
Example:
1 x 24,123,631 = 24,123,631
and
-1 x -24,123,631 = 24,123,631
Notice both answers equal 24,123,631
With that explanation out of the way, let's continue. Next, we take the number 24,123,631 and divide it by 2:
24,123,631 ÷ 2 = 12,061,815.5
If the quotient is a whole number, then 2 and 12,061,815.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 24,123,631 | |
-1 | -24,123,631 |
Now, we try dividing 24,123,631 by 3:
24,123,631 ÷ 3 = 8,041,210.3333
If the quotient is a whole number, then 3 and 8,041,210.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 24,123,631 | |
-1 | -24,123,631 |
Let's try dividing by 4:
24,123,631 ÷ 4 = 6,030,907.75
If the quotient is a whole number, then 4 and 6,030,907.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 24,123,631 | |
-1 | 24,123,631 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 492,319 | 3,446,233 | 24,123,631 |
-1 | -7 | -49 | -492,319 | -3,446,233 | -24,123,631 |
Here are some more numbers to try:
Try the factor calculator