Q: What are the factor combinations of the number 40,448,551?

 A:
Positive:   1 x 4044855111 x 367714113 x 311142761 x 663091143 x 282857671 x 60281793 x 510074637 x 8723
Negative: -1 x -40448551-11 x -3677141-13 x -3111427-61 x -663091-143 x -282857-671 x -60281-793 x -51007-4637 x -8723


How do I find the factor combinations of the number 40,448,551?

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 40,448,551, 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 40,448,551
-1 -40,448,551

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 40,448,551.

Example:
1 x 40,448,551 = 40,448,551
and
-1 x -40,448,551 = 40,448,551
Notice both answers equal 40,448,551

With that explanation out of the way, let's continue. Next, we take the number 40,448,551 and divide it by 2:

40,448,551 ÷ 2 = 20,224,275.5

If the quotient is a whole number, then 2 and 20,224,275.5 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 40,448,551
-1 -40,448,551

Now, we try dividing 40,448,551 by 3:

40,448,551 ÷ 3 = 13,482,850.3333

If the quotient is a whole number, then 3 and 13,482,850.3333 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 40,448,551
-1 -40,448,551

Let's try dividing by 4:

40,448,551 ÷ 4 = 10,112,137.75

If the quotient is a whole number, then 4 and 10,112,137.75 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 40,448,551
-1 40,448,551
Keep dividing by the next highest number until you cannot divide anymore.

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

11113611436717934,6378,72351,00760,281282,857663,0913,111,4273,677,14140,448,551
-1-11-13-61-143-671-793-4,637-8,723-51,007-60,281-282,857-663,091-3,111,427-3,677,141-40,448,551

More Examples

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