Q: What are the factor combinations of the number 15,165,865?

 A:
Positive:   1 x 151658655 x 303317311 x 137871513 x 116660555 x 27574365 x 233321143 x 106055715 x 21211
Negative: -1 x -15165865-5 x -3033173-11 x -1378715-13 x -1166605-55 x -275743-65 x -233321-143 x -106055-715 x -21211


How do I find the factor combinations of the number 15,165,865?

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 15,165,865, 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 15,165,865
-1 -15,165,865

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 15,165,865.

Example:
1 x 15,165,865 = 15,165,865
and
-1 x -15,165,865 = 15,165,865
Notice both answers equal 15,165,865

With that explanation out of the way, let's continue. Next, we take the number 15,165,865 and divide it by 2:

15,165,865 ÷ 2 = 7,582,932.5

If the quotient is a whole number, then 2 and 7,582,932.5 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 15,165,865
-1 -15,165,865

Now, we try dividing 15,165,865 by 3:

15,165,865 ÷ 3 = 5,055,288.3333

If the quotient is a whole number, then 3 and 5,055,288.3333 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 15,165,865
-1 -15,165,865

Let's try dividing by 4:

15,165,865 ÷ 4 = 3,791,466.25

If the quotient is a whole number, then 4 and 3,791,466.25 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 15,165,865
-1 15,165,865
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371521,211106,055233,321275,7431,166,6051,378,7153,033,17315,165,865
-1-5-11-13-55-65-143-715-21,211-106,055-233,321-275,743-1,166,605-1,378,715-3,033,173-15,165,865

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