Q: What are the factor combinations of the number 4,456,625?

 A:
Positive:   1 x 44566255 x 89132525 x 178265101 x 44125125 x 35653353 x 12625505 x 88251765 x 2525
Negative: -1 x -4456625-5 x -891325-25 x -178265-101 x -44125-125 x -35653-353 x -12625-505 x -8825-1765 x -2525


How do I find the factor combinations of the number 4,456,625?

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 4,456,625, 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 4,456,625
-1 -4,456,625

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 4,456,625.

Example:
1 x 4,456,625 = 4,456,625
and
-1 x -4,456,625 = 4,456,625
Notice both answers equal 4,456,625

With that explanation out of the way, let's continue. Next, we take the number 4,456,625 and divide it by 2:

4,456,625 ÷ 2 = 2,228,312.5

If the quotient is a whole number, then 2 and 2,228,312.5 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 4,456,625
-1 -4,456,625

Now, we try dividing 4,456,625 by 3:

4,456,625 ÷ 3 = 1,485,541.6667

If the quotient is a whole number, then 3 and 1,485,541.6667 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 4,456,625
-1 -4,456,625

Let's try dividing by 4:

4,456,625 ÷ 4 = 1,114,156.25

If the quotient is a whole number, then 4 and 1,114,156.25 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 4,456,625
-1 4,456,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251011253535051,7652,5258,82512,62535,65344,125178,265891,3254,456,625
-1-5-25-101-125-353-505-1,765-2,525-8,825-12,625-35,653-44,125-178,265-891,325-4,456,625

More Examples

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