Q: What are the factor combinations of the number 9,240,125?

 A:
Positive:   1 x 92401255 x 184802525 x 36960529 x 318625125 x 73921145 x 63725725 x 127452549 x 3625
Negative: -1 x -9240125-5 x -1848025-25 x -369605-29 x -318625-125 x -73921-145 x -63725-725 x -12745-2549 x -3625


How do I find the factor combinations of the number 9,240,125?

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 9,240,125, 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 9,240,125
-1 -9,240,125

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 9,240,125.

Example:
1 x 9,240,125 = 9,240,125
and
-1 x -9,240,125 = 9,240,125
Notice both answers equal 9,240,125

With that explanation out of the way, let's continue. Next, we take the number 9,240,125 and divide it by 2:

9,240,125 ÷ 2 = 4,620,062.5

If the quotient is a whole number, then 2 and 4,620,062.5 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 9,240,125
-1 -9,240,125

Now, we try dividing 9,240,125 by 3:

9,240,125 ÷ 3 = 3,080,041.6667

If the quotient is a whole number, then 3 and 3,080,041.6667 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 9,240,125
-1 -9,240,125

Let's try dividing by 4:

9,240,125 ÷ 4 = 2,310,031.25

If the quotient is a whole number, then 4 and 2,310,031.25 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 9,240,125
-1 9,240,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291251457252,5493,62512,74563,72573,921318,625369,6051,848,0259,240,125
-1-5-25-29-125-145-725-2,549-3,625-12,745-63,725-73,921-318,625-369,605-1,848,025-9,240,125

More Examples

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