Q: What are the factor combinations of the number 24,572,165?

 A:
Positive:   1 x 245721655 x 491443323 x 106835573 x 336605115 x 213671365 x 673211679 x 146352927 x 8395
Negative: -1 x -24572165-5 x -4914433-23 x -1068355-73 x -336605-115 x -213671-365 x -67321-1679 x -14635-2927 x -8395


How do I find the factor combinations of the number 24,572,165?

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 24,572,165, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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 24,572,165
-1 -24,572,165

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,572,165.

Example:
1 x 24,572,165 = 24,572,165
and
-1 x -24,572,165 = 24,572,165
Notice both answers equal 24,572,165

With that explanation out of the way, let's continue. Next, we take the number 24,572,165 and divide it by 2:

24,572,165 ÷ 2 = 12,286,082.5

If the quotient is a whole number, then 2 and 12,286,082.5 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 24,572,165
-1 -24,572,165

Now, we try dividing 24,572,165 by 3:

24,572,165 ÷ 3 = 8,190,721.6667

If the quotient is a whole number, then 3 and 8,190,721.6667 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 24,572,165
-1 -24,572,165

Let's try dividing by 4:

24,572,165 ÷ 4 = 6,143,041.25

If the quotient is a whole number, then 4 and 6,143,041.25 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 24,572,165
-1 24,572,165
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1523731153651,6792,9278,39514,63567,321213,671336,6051,068,3554,914,43324,572,165
-1-5-23-73-115-365-1,679-2,927-8,395-14,635-67,321-213,671-336,605-1,068,355-4,914,433-24,572,165

More Examples

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