Q: What are the factor combinations of the number 16,315,159?

 A:
Positive:   1 x 163151597 x 233073779 x 206521163 x 100093181 x 90139553 x 295031141 x 142991267 x 12877
Negative: -1 x -16315159-7 x -2330737-79 x -206521-163 x -100093-181 x -90139-553 x -29503-1141 x -14299-1267 x -12877


How do I find the factor combinations of the number 16,315,159?

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 16,315,159, 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 16,315,159
-1 -16,315,159

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 16,315,159.

Example:
1 x 16,315,159 = 16,315,159
and
-1 x -16,315,159 = 16,315,159
Notice both answers equal 16,315,159

With that explanation out of the way, let's continue. Next, we take the number 16,315,159 and divide it by 2:

16,315,159 ÷ 2 = 8,157,579.5

If the quotient is a whole number, then 2 and 8,157,579.5 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 16,315,159
-1 -16,315,159

Now, we try dividing 16,315,159 by 3:

16,315,159 ÷ 3 = 5,438,386.3333

If the quotient is a whole number, then 3 and 5,438,386.3333 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 16,315,159
-1 -16,315,159

Let's try dividing by 4:

16,315,159 ÷ 4 = 4,078,789.75

If the quotient is a whole number, then 4 and 4,078,789.75 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 16,315,159
-1 16,315,159
Keep dividing by the next highest number until you cannot divide anymore.

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

17791631815531,1411,26712,87714,29929,50390,139100,093206,5212,330,73716,315,159
-1-7-79-163-181-553-1,141-1,267-12,877-14,299-29,503-90,139-100,093-206,521-2,330,737-16,315,159

More Examples

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