Q: What are the factor combinations of the number 185,043,745?

 A:
Positive:   1 x 1850437455 x 370087491801 x 1027459005 x 20549
Negative: -1 x -185043745-5 x -37008749-1801 x -102745-9005 x -20549


How do I find the factor combinations of the number 185,043,745?

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 185,043,745, 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.

1 185,043,745
-1 -185,043,745

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 185,043,745.

Example:
1 x 185,043,745 = 185,043,745
and
-1 x -185,043,745 = 185,043,745
Notice both answers equal 185,043,745

With that explanation out of the way, let's continue. Next, we take the number 185,043,745 and divide it by 2:

185,043,745 ÷ 2 = 92,521,872.5

If the quotient is a whole number, then 2 and 92,521,872.5 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:

1 185,043,745
-1 -185,043,745

Now, we try dividing 185,043,745 by 3:

185,043,745 ÷ 3 = 61,681,248.3333

If the quotient is a whole number, then 3 and 61,681,248.3333 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:

1 185,043,745
-1 -185,043,745

Let's try dividing by 4:

185,043,745 ÷ 4 = 46,260,936.25

If the quotient is a whole number, then 4 and 46,260,936.25 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:

1 185,043,745
-1 185,043,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151,8019,00520,549102,74537,008,749185,043,745
-1-5-1,801-9,005-20,549-102,745-37,008,749-185,043,745

More Examples

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