Q: What are the factor combinations of the number 48,960,125?

 A:
Positive:   1 x 489601255 x 979202525 x 195840561 x 802625125 x 391681305 x 1605251525 x 321056421 x 7625
Negative: -1 x -48960125-5 x -9792025-25 x -1958405-61 x -802625-125 x -391681-305 x -160525-1525 x -32105-6421 x -7625


How do I find the factor combinations of the number 48,960,125?

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 48,960,125, 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 48,960,125
-1 -48,960,125

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 48,960,125.

Example:
1 x 48,960,125 = 48,960,125
and
-1 x -48,960,125 = 48,960,125
Notice both answers equal 48,960,125

With that explanation out of the way, let's continue. Next, we take the number 48,960,125 and divide it by 2:

48,960,125 ÷ 2 = 24,480,062.5

If the quotient is a whole number, then 2 and 24,480,062.5 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 48,960,125
-1 -48,960,125

Now, we try dividing 48,960,125 by 3:

48,960,125 ÷ 3 = 16,320,041.6667

If the quotient is a whole number, then 3 and 16,320,041.6667 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 48,960,125
-1 -48,960,125

Let's try dividing by 4:

48,960,125 ÷ 4 = 12,240,031.25

If the quotient is a whole number, then 4 and 12,240,031.25 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 48,960,125
-1 48,960,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525611253051,5256,4217,62532,105160,525391,681802,6251,958,4059,792,02548,960,125
-1-5-25-61-125-305-1,525-6,421-7,625-32,105-160,525-391,681-802,625-1,958,405-9,792,025-48,960,125

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