Q: What are the factor combinations of the number 1,059,725?

 A:
Positive:   1 x 10597255 x 21194519 x 5577523 x 4607525 x 4238995 x 1115597 x 10925115 x 9215437 x 2425475 x 2231485 x 2185575 x 1843
Negative: -1 x -1059725-5 x -211945-19 x -55775-23 x -46075-25 x -42389-95 x -11155-97 x -10925-115 x -9215-437 x -2425-475 x -2231-485 x -2185-575 x -1843


How do I find the factor combinations of the number 1,059,725?

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 1,059,725, 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 1,059,725
-1 -1,059,725

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 1,059,725.

Example:
1 x 1,059,725 = 1,059,725
and
-1 x -1,059,725 = 1,059,725
Notice both answers equal 1,059,725

With that explanation out of the way, let's continue. Next, we take the number 1,059,725 and divide it by 2:

1,059,725 ÷ 2 = 529,862.5

If the quotient is a whole number, then 2 and 529,862.5 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 1,059,725
-1 -1,059,725

Now, we try dividing 1,059,725 by 3:

1,059,725 ÷ 3 = 353,241.6667

If the quotient is a whole number, then 3 and 353,241.6667 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 1,059,725
-1 -1,059,725

Let's try dividing by 4:

1,059,725 ÷ 4 = 264,931.25

If the quotient is a whole number, then 4 and 264,931.25 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 1,059,725
-1 1,059,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1519232595971154374754855751,8432,1852,2312,4259,21510,92511,15542,38946,07555,775211,9451,059,725
-1-5-19-23-25-95-97-115-437-475-485-575-1,843-2,185-2,231-2,425-9,215-10,925-11,155-42,389-46,075-55,775-211,945-1,059,725

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