Q: What are the factor combinations of the number 23,245,037?

 A:
Positive:   1 x 2324503719 x 122342329 x 801553551 x 42187
Negative: -1 x -23245037-19 x -1223423-29 x -801553-551 x -42187


How do I find the factor combinations of the number 23,245,037?

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 23,245,037, 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 23,245,037
-1 -23,245,037

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 23,245,037.

Example:
1 x 23,245,037 = 23,245,037
and
-1 x -23,245,037 = 23,245,037
Notice both answers equal 23,245,037

With that explanation out of the way, let's continue. Next, we take the number 23,245,037 and divide it by 2:

23,245,037 ÷ 2 = 11,622,518.5

If the quotient is a whole number, then 2 and 11,622,518.5 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 23,245,037
-1 -23,245,037

Now, we try dividing 23,245,037 by 3:

23,245,037 ÷ 3 = 7,748,345.6667

If the quotient is a whole number, then 3 and 7,748,345.6667 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 23,245,037
-1 -23,245,037

Let's try dividing by 4:

23,245,037 ÷ 4 = 5,811,259.25

If the quotient is a whole number, then 4 and 5,811,259.25 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 23,245,037
-1 23,245,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1192955142,187801,5531,223,42323,245,037
-1-19-29-551-42,187-801,553-1,223,423-23,245,037

More Examples

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