Q: What are the factor combinations of the number 5,512,705?

 A:
Positive:   1 x 55127055 x 110254111 x 50115555 x 100231113 x 48785565 x 9757887 x 62151243 x 4435
Negative: -1 x -5512705-5 x -1102541-11 x -501155-55 x -100231-113 x -48785-565 x -9757-887 x -6215-1243 x -4435


How do I find the factor combinations of the number 5,512,705?

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 5,512,705, 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 5,512,705
-1 -5,512,705

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 5,512,705.

Example:
1 x 5,512,705 = 5,512,705
and
-1 x -5,512,705 = 5,512,705
Notice both answers equal 5,512,705

With that explanation out of the way, let's continue. Next, we take the number 5,512,705 and divide it by 2:

5,512,705 ÷ 2 = 2,756,352.5

If the quotient is a whole number, then 2 and 2,756,352.5 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 5,512,705
-1 -5,512,705

Now, we try dividing 5,512,705 by 3:

5,512,705 ÷ 3 = 1,837,568.3333

If the quotient is a whole number, then 3 and 1,837,568.3333 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 5,512,705
-1 -5,512,705

Let's try dividing by 4:

5,512,705 ÷ 4 = 1,378,176.25

If the quotient is a whole number, then 4 and 1,378,176.25 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 5,512,705
-1 5,512,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551135658871,2434,4356,2159,75748,785100,231501,1551,102,5415,512,705
-1-5-11-55-113-565-887-1,243-4,435-6,215-9,757-48,785-100,231-501,155-1,102,541-5,512,705

More Examples

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