Q: What are the factor combinations of the number 1,361,825?

 A:
Positive:   1 x 13618255 x 27236519 x 7167525 x 5447347 x 2897561 x 2232595 x 14335235 x 5795305 x 4465475 x 2867893 x 15251159 x 1175
Negative: -1 x -1361825-5 x -272365-19 x -71675-25 x -54473-47 x -28975-61 x -22325-95 x -14335-235 x -5795-305 x -4465-475 x -2867-893 x -1525-1159 x -1175


How do I find the factor combinations of the number 1,361,825?

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 1,361,825, 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 1,361,825
-1 -1,361,825

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 1,361,825.

Example:
1 x 1,361,825 = 1,361,825
and
-1 x -1,361,825 = 1,361,825
Notice both answers equal 1,361,825

With that explanation out of the way, let's continue. Next, we take the number 1,361,825 and divide it by 2:

1,361,825 ÷ 2 = 680,912.5

If the quotient is a whole number, then 2 and 680,912.5 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 1,361,825
-1 -1,361,825

Now, we try dividing 1,361,825 by 3:

1,361,825 ÷ 3 = 453,941.6667

If the quotient is a whole number, then 3 and 453,941.6667 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 1,361,825
-1 -1,361,825

Let's try dividing by 4:

1,361,825 ÷ 4 = 340,456.25

If the quotient is a whole number, then 4 and 340,456.25 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 1,361,825
-1 1,361,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1519254761952353054758931,1591,1751,5252,8674,4655,79514,33522,32528,97554,47371,675272,3651,361,825
-1-5-19-25-47-61-95-235-305-475-893-1,159-1,175-1,525-2,867-4,465-5,795-14,335-22,325-28,975-54,473-71,675-272,365-1,361,825

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