Q: What are the factor combinations of the number 144,007,825?

 A:
Positive:   1 x 1440078255 x 2880156513 x 1107752525 x 576031365 x 2215505223 x 645775325 x 4431011115 x 1291551987 x 724752899 x 496755575 x 258319935 x 14495
Negative: -1 x -144007825-5 x -28801565-13 x -11077525-25 x -5760313-65 x -2215505-223 x -645775-325 x -443101-1115 x -129155-1987 x -72475-2899 x -49675-5575 x -25831-9935 x -14495


How do I find the factor combinations of the number 144,007,825?

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 144,007,825, 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.

1 144,007,825
-1 -144,007,825

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 144,007,825.

Example:
1 x 144,007,825 = 144,007,825
and
-1 x -144,007,825 = 144,007,825
Notice both answers equal 144,007,825

With that explanation out of the way, let's continue. Next, we take the number 144,007,825 and divide it by 2:

144,007,825 ÷ 2 = 72,003,912.5

If the quotient is a whole number, then 2 and 72,003,912.5 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:

1 144,007,825
-1 -144,007,825

Now, we try dividing 144,007,825 by 3:

144,007,825 ÷ 3 = 48,002,608.3333

If the quotient is a whole number, then 3 and 48,002,608.3333 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:

1 144,007,825
-1 -144,007,825

Let's try dividing by 4:

144,007,825 ÷ 4 = 36,001,956.25

If the quotient is a whole number, then 4 and 36,001,956.25 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:

1 144,007,825
-1 144,007,825
Keep dividing by the next highest number until you cannot divide anymore.

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

151325652233251,1151,9872,8995,5759,93514,49525,83149,67572,475129,155443,101645,7752,215,5055,760,31311,077,52528,801,565144,007,825
-1-5-13-25-65-223-325-1,115-1,987-2,899-5,575-9,935-14,495-25,831-49,675-72,475-129,155-443,101-645,775-2,215,505-5,760,313-11,077,525-28,801,565-144,007,825

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