Q: What are the factor combinations of the number 16,160,305?

 A:
Positive:   1 x 161603055 x 32320617 x 230861535 x 46172337 x 436765185 x 87353259 x 623951295 x 12479
Negative: -1 x -16160305-5 x -3232061-7 x -2308615-35 x -461723-37 x -436765-185 x -87353-259 x -62395-1295 x -12479


How do I find the factor combinations of the number 16,160,305?

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 16,160,305, 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 16,160,305
-1 -16,160,305

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 16,160,305.

Example:
1 x 16,160,305 = 16,160,305
and
-1 x -16,160,305 = 16,160,305
Notice both answers equal 16,160,305

With that explanation out of the way, let's continue. Next, we take the number 16,160,305 and divide it by 2:

16,160,305 ÷ 2 = 8,080,152.5

If the quotient is a whole number, then 2 and 8,080,152.5 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 16,160,305
-1 -16,160,305

Now, we try dividing 16,160,305 by 3:

16,160,305 ÷ 3 = 5,386,768.3333

If the quotient is a whole number, then 3 and 5,386,768.3333 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 16,160,305
-1 -16,160,305

Let's try dividing by 4:

16,160,305 ÷ 4 = 4,040,076.25

If the quotient is a whole number, then 4 and 4,040,076.25 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 16,160,305
-1 16,160,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,29512,47962,39587,353436,765461,7232,308,6153,232,06116,160,305
-1-5-7-35-37-185-259-1,295-12,479-62,395-87,353-436,765-461,723-2,308,615-3,232,061-16,160,305

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