Q: What are the factor combinations of the number 15,793,645?

 A:
Positive:   1 x 157936455 x 31587297 x 225623535 x 45124747 x 336035235 x 67207329 x 480051645 x 9601
Negative: -1 x -15793645-5 x -3158729-7 x -2256235-35 x -451247-47 x -336035-235 x -67207-329 x -48005-1645 x -9601


How do I find the factor combinations of the number 15,793,645?

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 15,793,645, 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 15,793,645
-1 -15,793,645

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 15,793,645.

Example:
1 x 15,793,645 = 15,793,645
and
-1 x -15,793,645 = 15,793,645
Notice both answers equal 15,793,645

With that explanation out of the way, let's continue. Next, we take the number 15,793,645 and divide it by 2:

15,793,645 ÷ 2 = 7,896,822.5

If the quotient is a whole number, then 2 and 7,896,822.5 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 15,793,645
-1 -15,793,645

Now, we try dividing 15,793,645 by 3:

15,793,645 ÷ 3 = 5,264,548.3333

If the quotient is a whole number, then 3 and 5,264,548.3333 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 15,793,645
-1 -15,793,645

Let's try dividing by 4:

15,793,645 ÷ 4 = 3,948,411.25

If the quotient is a whole number, then 4 and 3,948,411.25 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 15,793,645
-1 15,793,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,6459,60148,00567,207336,035451,2472,256,2353,158,72915,793,645
-1-5-7-35-47-235-329-1,645-9,601-48,005-67,207-336,035-451,247-2,256,235-3,158,729-15,793,645

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