Q: What are the factor combinations of the number 40,502,203?

 A:
Positive:   1 x 405022037 x 578602947 x 861749307 x 131929329 x 123107401 x 1010032149 x 188472807 x 14429
Negative: -1 x -40502203-7 x -5786029-47 x -861749-307 x -131929-329 x -123107-401 x -101003-2149 x -18847-2807 x -14429


How do I find the factor combinations of the number 40,502,203?

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 40,502,203, 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 40,502,203
-1 -40,502,203

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 40,502,203.

Example:
1 x 40,502,203 = 40,502,203
and
-1 x -40,502,203 = 40,502,203
Notice both answers equal 40,502,203

With that explanation out of the way, let's continue. Next, we take the number 40,502,203 and divide it by 2:

40,502,203 ÷ 2 = 20,251,101.5

If the quotient is a whole number, then 2 and 20,251,101.5 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 40,502,203
-1 -40,502,203

Now, we try dividing 40,502,203 by 3:

40,502,203 ÷ 3 = 13,500,734.3333

If the quotient is a whole number, then 3 and 13,500,734.3333 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 40,502,203
-1 -40,502,203

Let's try dividing by 4:

40,502,203 ÷ 4 = 10,125,550.75

If the quotient is a whole number, then 4 and 10,125,550.75 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 40,502,203
-1 40,502,203
Keep dividing by the next highest number until you cannot divide anymore.

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

17473073294012,1492,80714,42918,847101,003123,107131,929861,7495,786,02940,502,203
-1-7-47-307-329-401-2,149-2,807-14,429-18,847-101,003-123,107-131,929-861,749-5,786,029-40,502,203

More Examples

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