Q: What are the factor combinations of the number 120,644,825?

 A:
Positive:   1 x 1206448255 x 241289657 x 1723497525 x 482579335 x 3446995175 x 689399227 x 5314751135 x 1062951589 x 759253037 x 397255675 x 212597945 x 15185
Negative: -1 x -120644825-5 x -24128965-7 x -17234975-25 x -4825793-35 x -3446995-175 x -689399-227 x -531475-1135 x -106295-1589 x -75925-3037 x -39725-5675 x -21259-7945 x -15185


How do I find the factor combinations of the number 120,644,825?

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 120,644,825, 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.

1 120,644,825
-1 -120,644,825

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 120,644,825.

Example:
1 x 120,644,825 = 120,644,825
and
-1 x -120,644,825 = 120,644,825
Notice both answers equal 120,644,825

With that explanation out of the way, let's continue. Next, we take the number 120,644,825 and divide it by 2:

120,644,825 ÷ 2 = 60,322,412.5

If the quotient is a whole number, then 2 and 60,322,412.5 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:

1 120,644,825
-1 -120,644,825

Now, we try dividing 120,644,825 by 3:

120,644,825 ÷ 3 = 40,214,941.6667

If the quotient is a whole number, then 3 and 40,214,941.6667 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:

1 120,644,825
-1 -120,644,825

Let's try dividing by 4:

120,644,825 ÷ 4 = 30,161,206.25

If the quotient is a whole number, then 4 and 30,161,206.25 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:

1 120,644,825
-1 120,644,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752271,1351,5893,0375,6757,94515,18521,25939,72575,925106,295531,475689,3993,446,9954,825,79317,234,97524,128,965120,644,825
-1-5-7-25-35-175-227-1,135-1,589-3,037-5,675-7,945-15,185-21,259-39,725-75,925-106,295-531,475-689,399-3,446,995-4,825,793-17,234,975-24,128,965-120,644,825

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