Q: What are the factor combinations of the number 40,044,215?

 A:
Positive:   1 x 400442155 x 800884329 x 138083589 x 449935107 x 374245145 x 276167445 x 89987535 x 74849841 x 476152581 x 155153103 x 129054205 x 9523
Negative: -1 x -40044215-5 x -8008843-29 x -1380835-89 x -449935-107 x -374245-145 x -276167-445 x -89987-535 x -74849-841 x -47615-2581 x -15515-3103 x -12905-4205 x -9523


How do I find the factor combinations of the number 40,044,215?

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 40,044,215, 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 40,044,215
-1 -40,044,215

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 40,044,215.

Example:
1 x 40,044,215 = 40,044,215
and
-1 x -40,044,215 = 40,044,215
Notice both answers equal 40,044,215

With that explanation out of the way, let's continue. Next, we take the number 40,044,215 and divide it by 2:

40,044,215 ÷ 2 = 20,022,107.5

If the quotient is a whole number, then 2 and 20,022,107.5 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 40,044,215
-1 -40,044,215

Now, we try dividing 40,044,215 by 3:

40,044,215 ÷ 3 = 13,348,071.6667

If the quotient is a whole number, then 3 and 13,348,071.6667 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 40,044,215
-1 -40,044,215

Let's try dividing by 4:

40,044,215 ÷ 4 = 10,011,053.75

If the quotient is a whole number, then 4 and 10,011,053.75 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 40,044,215
-1 40,044,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1529891071454455358412,5813,1034,2059,52312,90515,51547,61574,84989,987276,167374,245449,9351,380,8358,008,84340,044,215
-1-5-29-89-107-145-445-535-841-2,581-3,103-4,205-9,523-12,905-15,515-47,615-74,849-89,987-276,167-374,245-449,935-1,380,835-8,008,843-40,044,215

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