Q: What are the factor combinations of the number 1,345,825?

 A:
Positive:   1 x 13458255 x 26916513 x 10352525 x 5383341 x 3282565 x 20705101 x 13325205 x 6565325 x 4141505 x 2665533 x 25251025 x 1313
Negative: -1 x -1345825-5 x -269165-13 x -103525-25 x -53833-41 x -32825-65 x -20705-101 x -13325-205 x -6565-325 x -4141-505 x -2665-533 x -2525-1025 x -1313


How do I find the factor combinations of the number 1,345,825?

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 1,345,825, 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 1,345,825
-1 -1,345,825

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 1,345,825.

Example:
1 x 1,345,825 = 1,345,825
and
-1 x -1,345,825 = 1,345,825
Notice both answers equal 1,345,825

With that explanation out of the way, let's continue. Next, we take the number 1,345,825 and divide it by 2:

1,345,825 ÷ 2 = 672,912.5

If the quotient is a whole number, then 2 and 672,912.5 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 1,345,825
-1 -1,345,825

Now, we try dividing 1,345,825 by 3:

1,345,825 ÷ 3 = 448,608.3333

If the quotient is a whole number, then 3 and 448,608.3333 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 1,345,825
-1 -1,345,825

Let's try dividing by 4:

1,345,825 ÷ 4 = 336,456.25

If the quotient is a whole number, then 4 and 336,456.25 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 1,345,825
-1 1,345,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15132541651012053255055331,0251,3132,5252,6654,1416,56513,32520,70532,82553,833103,525269,1651,345,825
-1-5-13-25-41-65-101-205-325-505-533-1,025-1,313-2,525-2,665-4,141-6,565-13,325-20,705-32,825-53,833-103,525-269,165-1,345,825

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