Q: What are the factor combinations of the number 1,645,685?

 A:
Positive:   1 x 16456855 x 32913717 x 9680519 x 8661585 x 1936195 x 17323323 x 50951019 x 1615
Negative: -1 x -1645685-5 x -329137-17 x -96805-19 x -86615-85 x -19361-95 x -17323-323 x -5095-1019 x -1615


How do I find the factor combinations of the number 1,645,685?

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 1,645,685, 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 1,645,685
-1 -1,645,685

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 1,645,685.

Example:
1 x 1,645,685 = 1,645,685
and
-1 x -1,645,685 = 1,645,685
Notice both answers equal 1,645,685

With that explanation out of the way, let's continue. Next, we take the number 1,645,685 and divide it by 2:

1,645,685 ÷ 2 = 822,842.5

If the quotient is a whole number, then 2 and 822,842.5 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 1,645,685
-1 -1,645,685

Now, we try dividing 1,645,685 by 3:

1,645,685 ÷ 3 = 548,561.6667

If the quotient is a whole number, then 3 and 548,561.6667 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 1,645,685
-1 -1,645,685

Let's try dividing by 4:

1,645,685 ÷ 4 = 411,421.25

If the quotient is a whole number, then 4 and 411,421.25 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 1,645,685
-1 1,645,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,0191,6155,09517,32319,36186,61596,805329,1371,645,685
-1-5-17-19-85-95-323-1,019-1,615-5,095-17,323-19,361-86,615-96,805-329,137-1,645,685

More Examples

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