Q: What are the factor combinations of the number 156,551,005?

 A:
Positive:   1 x 1565510055 x 3131020113 x 1204238565 x 2408477613 x 2553853065 x 510773929 x 398457969 x 19645
Negative: -1 x -156551005-5 x -31310201-13 x -12042385-65 x -2408477-613 x -255385-3065 x -51077-3929 x -39845-7969 x -19645


How do I find the factor combinations of the number 156,551,005?

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 156,551,005, 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.

1 156,551,005
-1 -156,551,005

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 156,551,005.

Example:
1 x 156,551,005 = 156,551,005
and
-1 x -156,551,005 = 156,551,005
Notice both answers equal 156,551,005

With that explanation out of the way, let's continue. Next, we take the number 156,551,005 and divide it by 2:

156,551,005 ÷ 2 = 78,275,502.5

If the quotient is a whole number, then 2 and 78,275,502.5 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:

1 156,551,005
-1 -156,551,005

Now, we try dividing 156,551,005 by 3:

156,551,005 ÷ 3 = 52,183,668.3333

If the quotient is a whole number, then 3 and 52,183,668.3333 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:

1 156,551,005
-1 -156,551,005

Let's try dividing by 4:

156,551,005 ÷ 4 = 39,137,751.25

If the quotient is a whole number, then 4 and 39,137,751.25 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:

1 156,551,005
-1 156,551,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1513656133,0653,9297,96919,64539,84551,077255,3852,408,47712,042,38531,310,201156,551,005
-1-5-13-65-613-3,065-3,929-7,969-19,645-39,845-51,077-255,385-2,408,477-12,042,385-31,310,201-156,551,005

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