Q: What are the factor combinations of the number 15,385,735?

 A:
Positive:   1 x 153857355 x 307714723 x 668945115 x 133789337 x 45655397 x 387551685 x 91311985 x 7751
Negative: -1 x -15385735-5 x -3077147-23 x -668945-115 x -133789-337 x -45655-397 x -38755-1685 x -9131-1985 x -7751


How do I find the factor combinations of the number 15,385,735?

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 15,385,735, 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 15,385,735
-1 -15,385,735

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 15,385,735.

Example:
1 x 15,385,735 = 15,385,735
and
-1 x -15,385,735 = 15,385,735
Notice both answers equal 15,385,735

With that explanation out of the way, let's continue. Next, we take the number 15,385,735 and divide it by 2:

15,385,735 ÷ 2 = 7,692,867.5

If the quotient is a whole number, then 2 and 7,692,867.5 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 15,385,735
-1 -15,385,735

Now, we try dividing 15,385,735 by 3:

15,385,735 ÷ 3 = 5,128,578.3333

If the quotient is a whole number, then 3 and 5,128,578.3333 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 15,385,735
-1 -15,385,735

Let's try dividing by 4:

15,385,735 ÷ 4 = 3,846,433.75

If the quotient is a whole number, then 4 and 3,846,433.75 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 15,385,735
-1 15,385,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15231153373971,6851,9857,7519,13138,75545,655133,789668,9453,077,14715,385,735
-1-5-23-115-337-397-1,685-1,985-7,751-9,131-38,755-45,655-133,789-668,945-3,077,147-15,385,735

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