Q: What are the factor combinations of the number 4,945,625?

 A:
Positive:   1 x 49456255 x 98912525 x 19782541 x 120625125 x 39565193 x 25625205 x 24125625 x 7913965 x 51251025 x 4825
Negative: -1 x -4945625-5 x -989125-25 x -197825-41 x -120625-125 x -39565-193 x -25625-205 x -24125-625 x -7913-965 x -5125-1025 x -4825


How do I find the factor combinations of the number 4,945,625?

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 4,945,625, 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 4,945,625
-1 -4,945,625

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 4,945,625.

Example:
1 x 4,945,625 = 4,945,625
and
-1 x -4,945,625 = 4,945,625
Notice both answers equal 4,945,625

With that explanation out of the way, let's continue. Next, we take the number 4,945,625 and divide it by 2:

4,945,625 ÷ 2 = 2,472,812.5

If the quotient is a whole number, then 2 and 2,472,812.5 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 4,945,625
-1 -4,945,625

Now, we try dividing 4,945,625 by 3:

4,945,625 ÷ 3 = 1,648,541.6667

If the quotient is a whole number, then 3 and 1,648,541.6667 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 4,945,625
-1 -4,945,625

Let's try dividing by 4:

4,945,625 ÷ 4 = 1,236,406.25

If the quotient is a whole number, then 4 and 1,236,406.25 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 4,945,625
-1 4,945,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411251932056259651,0254,8255,1257,91324,12525,62539,565120,625197,825989,1254,945,625
-1-5-25-41-125-193-205-625-965-1,025-4,825-5,125-7,913-24,125-25,625-39,565-120,625-197,825-989,125-4,945,625

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