Q: What are the factor combinations of the number 15,352,711?

 A:
Positive:   1 x 1535271111 x 1395701367 x 418333803 x 4037
Negative: -1 x -15352711-11 x -1395701-367 x -41833-3803 x -4037


How do I find the factor combinations of the number 15,352,711?

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 15,352,711, 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 15,352,711
-1 -15,352,711

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 15,352,711.

Example:
1 x 15,352,711 = 15,352,711
and
-1 x -15,352,711 = 15,352,711
Notice both answers equal 15,352,711

With that explanation out of the way, let's continue. Next, we take the number 15,352,711 and divide it by 2:

15,352,711 ÷ 2 = 7,676,355.5

If the quotient is a whole number, then 2 and 7,676,355.5 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 15,352,711
-1 -15,352,711

Now, we try dividing 15,352,711 by 3:

15,352,711 ÷ 3 = 5,117,570.3333

If the quotient is a whole number, then 3 and 5,117,570.3333 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 15,352,711
-1 -15,352,711

Let's try dividing by 4:

15,352,711 ÷ 4 = 3,838,177.75

If the quotient is a whole number, then 4 and 3,838,177.75 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 15,352,711
-1 15,352,711
Keep dividing by the next highest number until you cannot divide anymore.

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

1113673,8034,03741,8331,395,70115,352,711
-1-11-367-3,803-4,037-41,833-1,395,701-15,352,711

More Examples

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