Q: What are the factor combinations of the number 40,521,205?

 A:
Positive:   1 x 405212055 x 810424119 x 213269573 x 55508595 x 426539365 x 1110171387 x 292155843 x 6935
Negative: -1 x -40521205-5 x -8104241-19 x -2132695-73 x -555085-95 x -426539-365 x -111017-1387 x -29215-5843 x -6935


How do I find the factor combinations of the number 40,521,205?

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 40,521,205, 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 40,521,205
-1 -40,521,205

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 40,521,205.

Example:
1 x 40,521,205 = 40,521,205
and
-1 x -40,521,205 = 40,521,205
Notice both answers equal 40,521,205

With that explanation out of the way, let's continue. Next, we take the number 40,521,205 and divide it by 2:

40,521,205 ÷ 2 = 20,260,602.5

If the quotient is a whole number, then 2 and 20,260,602.5 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 40,521,205
-1 -40,521,205

Now, we try dividing 40,521,205 by 3:

40,521,205 ÷ 3 = 13,507,068.3333

If the quotient is a whole number, then 3 and 13,507,068.3333 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 40,521,205
-1 -40,521,205

Let's try dividing by 4:

40,521,205 ÷ 4 = 10,130,301.25

If the quotient is a whole number, then 4 and 10,130,301.25 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 40,521,205
-1 40,521,205
Keep dividing by the next highest number until you cannot divide anymore.

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

151973953651,3875,8436,93529,215111,017426,539555,0852,132,6958,104,24140,521,205
-1-5-19-73-95-365-1,387-5,843-6,935-29,215-111,017-426,539-555,085-2,132,695-8,104,241-40,521,205

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