Q: What are the factor combinations of the number 48,451,385?

 A:
Positive:   1 x 484513855 x 969027761 x 79428567 x 723155305 x 158857335 x 1446312371 x 204354087 x 11855
Negative: -1 x -48451385-5 x -9690277-61 x -794285-67 x -723155-305 x -158857-335 x -144631-2371 x -20435-4087 x -11855


How do I find the factor combinations of the number 48,451,385?

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 48,451,385, 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 48,451,385
-1 -48,451,385

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 48,451,385.

Example:
1 x 48,451,385 = 48,451,385
and
-1 x -48,451,385 = 48,451,385
Notice both answers equal 48,451,385

With that explanation out of the way, let's continue. Next, we take the number 48,451,385 and divide it by 2:

48,451,385 ÷ 2 = 24,225,692.5

If the quotient is a whole number, then 2 and 24,225,692.5 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 48,451,385
-1 -48,451,385

Now, we try dividing 48,451,385 by 3:

48,451,385 ÷ 3 = 16,150,461.6667

If the quotient is a whole number, then 3 and 16,150,461.6667 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 48,451,385
-1 -48,451,385

Let's try dividing by 4:

48,451,385 ÷ 4 = 12,112,846.25

If the quotient is a whole number, then 4 and 12,112,846.25 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 48,451,385
-1 48,451,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1561673053352,3714,08711,85520,435144,631158,857723,155794,2859,690,27748,451,385
-1-5-61-67-305-335-2,371-4,087-11,855-20,435-144,631-158,857-723,155-794,285-9,690,277-48,451,385

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