Q: What are the factor combinations of the number 1,620,325?

 A:
Positive:   1 x 16203255 x 3240657 x 23147525 x 6481335 x 4629547 x 34475175 x 9259197 x 8225235 x 6895329 x 4925985 x 16451175 x 1379
Negative: -1 x -1620325-5 x -324065-7 x -231475-25 x -64813-35 x -46295-47 x -34475-175 x -9259-197 x -8225-235 x -6895-329 x -4925-985 x -1645-1175 x -1379


How do I find the factor combinations of the number 1,620,325?

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 1,620,325, 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 1,620,325
-1 -1,620,325

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 1,620,325.

Example:
1 x 1,620,325 = 1,620,325
and
-1 x -1,620,325 = 1,620,325
Notice both answers equal 1,620,325

With that explanation out of the way, let's continue. Next, we take the number 1,620,325 and divide it by 2:

1,620,325 ÷ 2 = 810,162.5

If the quotient is a whole number, then 2 and 810,162.5 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 1,620,325
-1 -1,620,325

Now, we try dividing 1,620,325 by 3:

1,620,325 ÷ 3 = 540,108.3333

If the quotient is a whole number, then 3 and 540,108.3333 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 1,620,325
-1 -1,620,325

Let's try dividing by 4:

1,620,325 ÷ 4 = 405,081.25

If the quotient is a whole number, then 4 and 405,081.25 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 1,620,325
-1 1,620,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535471751972353299851,1751,3791,6454,9256,8958,2259,25934,47546,29564,813231,475324,0651,620,325
-1-5-7-25-35-47-175-197-235-329-985-1,175-1,379-1,645-4,925-6,895-8,225-9,259-34,475-46,295-64,813-231,475-324,065-1,620,325

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