Q: What are the factor combinations of the number 1,605,025?

 A:
Positive:   1 x 16050255 x 32100519 x 8447525 x 6420131 x 5177595 x 16895109 x 14725155 x 10355475 x 3379545 x 2945589 x 2725775 x 2071
Negative: -1 x -1605025-5 x -321005-19 x -84475-25 x -64201-31 x -51775-95 x -16895-109 x -14725-155 x -10355-475 x -3379-545 x -2945-589 x -2725-775 x -2071


How do I find the factor combinations of the number 1,605,025?

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 1,605,025, 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 1,605,025
-1 -1,605,025

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 1,605,025.

Example:
1 x 1,605,025 = 1,605,025
and
-1 x -1,605,025 = 1,605,025
Notice both answers equal 1,605,025

With that explanation out of the way, let's continue. Next, we take the number 1,605,025 and divide it by 2:

1,605,025 ÷ 2 = 802,512.5

If the quotient is a whole number, then 2 and 802,512.5 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 1,605,025
-1 -1,605,025

Now, we try dividing 1,605,025 by 3:

1,605,025 ÷ 3 = 535,008.3333

If the quotient is a whole number, then 3 and 535,008.3333 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 1,605,025
-1 -1,605,025

Let's try dividing by 4:

1,605,025 ÷ 4 = 401,256.25

If the quotient is a whole number, then 4 and 401,256.25 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 1,605,025
-1 1,605,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15192531951091554755455897752,0712,7252,9453,37910,35514,72516,89551,77564,20184,475321,0051,605,025
-1-5-19-25-31-95-109-155-475-545-589-775-2,071-2,725-2,945-3,379-10,355-14,725-16,895-51,775-64,201-84,475-321,005-1,605,025

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