Q: What are the factor combinations of the number 15,555,463?

 A:
Positive:   1 x 155554637 x 222220911 x 141413377 x 202019269 x 57827751 x 207131883 x 82612959 x 5257
Negative: -1 x -15555463-7 x -2222209-11 x -1414133-77 x -202019-269 x -57827-751 x -20713-1883 x -8261-2959 x -5257


How do I find the factor combinations of the number 15,555,463?

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 15,555,463, 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 15,555,463
-1 -15,555,463

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 15,555,463.

Example:
1 x 15,555,463 = 15,555,463
and
-1 x -15,555,463 = 15,555,463
Notice both answers equal 15,555,463

With that explanation out of the way, let's continue. Next, we take the number 15,555,463 and divide it by 2:

15,555,463 ÷ 2 = 7,777,731.5

If the quotient is a whole number, then 2 and 7,777,731.5 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 15,555,463
-1 -15,555,463

Now, we try dividing 15,555,463 by 3:

15,555,463 ÷ 3 = 5,185,154.3333

If the quotient is a whole number, then 3 and 5,185,154.3333 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 15,555,463
-1 -15,555,463

Let's try dividing by 4:

15,555,463 ÷ 4 = 3,888,865.75

If the quotient is a whole number, then 4 and 3,888,865.75 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 15,555,463
-1 15,555,463
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772697511,8832,9595,2578,26120,71357,827202,0191,414,1332,222,20915,555,463
-1-7-11-77-269-751-1,883-2,959-5,257-8,261-20,713-57,827-202,019-1,414,133-2,222,209-15,555,463

More Examples

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