Q: What are the factor combinations of the number 144,422,525?

 A:
Positive:   1 x 1444225255 x 2888450513 x 1110942525 x 577690165 x 222188589 x 1622725325 x 444377445 x 3245451157 x 1248252225 x 649094993 x 289255785 x 24965
Negative: -1 x -144422525-5 x -28884505-13 x -11109425-25 x -5776901-65 x -2221885-89 x -1622725-325 x -444377-445 x -324545-1157 x -124825-2225 x -64909-4993 x -28925-5785 x -24965


How do I find the factor combinations of the number 144,422,525?

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 144,422,525, 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.

1 144,422,525
-1 -144,422,525

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 144,422,525.

Example:
1 x 144,422,525 = 144,422,525
and
-1 x -144,422,525 = 144,422,525
Notice both answers equal 144,422,525

With that explanation out of the way, let's continue. Next, we take the number 144,422,525 and divide it by 2:

144,422,525 ÷ 2 = 72,211,262.5

If the quotient is a whole number, then 2 and 72,211,262.5 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:

1 144,422,525
-1 -144,422,525

Now, we try dividing 144,422,525 by 3:

144,422,525 ÷ 3 = 48,140,841.6667

If the quotient is a whole number, then 3 and 48,140,841.6667 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:

1 144,422,525
-1 -144,422,525

Let's try dividing by 4:

144,422,525 ÷ 4 = 36,105,631.25

If the quotient is a whole number, then 4 and 36,105,631.25 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:

1 144,422,525
-1 144,422,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565893254451,1572,2254,9935,78524,96528,92564,909124,825324,545444,3771,622,7252,221,8855,776,90111,109,42528,884,505144,422,525
-1-5-13-25-65-89-325-445-1,157-2,225-4,993-5,785-24,965-28,925-64,909-124,825-324,545-444,377-1,622,725-2,221,885-5,776,901-11,109,425-28,884,505-144,422,525

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