Q: What are the factor combinations of the number 15,484,789?

 A:
Positive:   1 x 1548478961 x 25384997 x 1596372617 x 5917
Negative: -1 x -15484789-61 x -253849-97 x -159637-2617 x -5917


How do I find the factor combinations of the number 15,484,789?

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 15,484,789, 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 15,484,789
-1 -15,484,789

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 15,484,789.

Example:
1 x 15,484,789 = 15,484,789
and
-1 x -15,484,789 = 15,484,789
Notice both answers equal 15,484,789

With that explanation out of the way, let's continue. Next, we take the number 15,484,789 and divide it by 2:

15,484,789 ÷ 2 = 7,742,394.5

If the quotient is a whole number, then 2 and 7,742,394.5 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 15,484,789
-1 -15,484,789

Now, we try dividing 15,484,789 by 3:

15,484,789 ÷ 3 = 5,161,596.3333

If the quotient is a whole number, then 3 and 5,161,596.3333 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 15,484,789
-1 -15,484,789

Let's try dividing by 4:

15,484,789 ÷ 4 = 3,871,197.25

If the quotient is a whole number, then 4 and 3,871,197.25 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 15,484,789
-1 15,484,789
Keep dividing by the next highest number until you cannot divide anymore.

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

161972,6175,917159,637253,84915,484,789
-1-61-97-2,617-5,917-159,637-253,849-15,484,789

More Examples

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