Q: What are the factor combinations of the number 48,025,265?

 A:
Positive:   1 x 480252655 x 960505323 x 208805567 x 716795115 x 417611271 x 177215335 x 143359529 x 907851355 x 354431541 x 311652645 x 181576233 x 7705
Negative: -1 x -48025265-5 x -9605053-23 x -2088055-67 x -716795-115 x -417611-271 x -177215-335 x -143359-529 x -90785-1355 x -35443-1541 x -31165-2645 x -18157-6233 x -7705


How do I find the factor combinations of the number 48,025,265?

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 48,025,265, 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 48,025,265
-1 -48,025,265

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 48,025,265.

Example:
1 x 48,025,265 = 48,025,265
and
-1 x -48,025,265 = 48,025,265
Notice both answers equal 48,025,265

With that explanation out of the way, let's continue. Next, we take the number 48,025,265 and divide it by 2:

48,025,265 ÷ 2 = 24,012,632.5

If the quotient is a whole number, then 2 and 24,012,632.5 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 48,025,265
-1 -48,025,265

Now, we try dividing 48,025,265 by 3:

48,025,265 ÷ 3 = 16,008,421.6667

If the quotient is a whole number, then 3 and 16,008,421.6667 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 48,025,265
-1 -48,025,265

Let's try dividing by 4:

48,025,265 ÷ 4 = 12,006,316.25

If the quotient is a whole number, then 4 and 12,006,316.25 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 48,025,265
-1 48,025,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1523671152713355291,3551,5412,6456,2337,70518,15731,16535,44390,785143,359177,215417,611716,7952,088,0559,605,05348,025,265
-1-5-23-67-115-271-335-529-1,355-1,541-2,645-6,233-7,705-18,157-31,165-35,443-90,785-143,359-177,215-417,611-716,795-2,088,055-9,605,053-48,025,265

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