Q: What are the factor combinations of the number 918,775?

 A:
Positive:   1 x 9187755 x 18375511 x 8352513 x 7067525 x 3675155 x 1670565 x 14135143 x 6425257 x 3575275 x 3341325 x 2827715 x 1285
Negative: -1 x -918775-5 x -183755-11 x -83525-13 x -70675-25 x -36751-55 x -16705-65 x -14135-143 x -6425-257 x -3575-275 x -3341-325 x -2827-715 x -1285


How do I find the factor combinations of the number 918,775?

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 918,775, 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.

1 918,775
-1 -918,775

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 918,775.

Example:
1 x 918,775 = 918,775
and
-1 x -918,775 = 918,775
Notice both answers equal 918,775

With that explanation out of the way, let's continue. Next, we take the number 918,775 and divide it by 2:

918,775 ÷ 2 = 459,387.5

If the quotient is a whole number, then 2 and 459,387.5 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:

1 918,775
-1 -918,775

Now, we try dividing 918,775 by 3:

918,775 ÷ 3 = 306,258.3333

If the quotient is a whole number, then 3 and 306,258.3333 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:

1 918,775
-1 -918,775

Let's try dividing by 4:

918,775 ÷ 4 = 229,693.75

If the quotient is a whole number, then 4 and 229,693.75 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:

1 918,775
-1 918,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432572753257151,2852,8273,3413,5756,42514,13516,70536,75170,67583,525183,755918,775
-1-5-11-13-25-55-65-143-257-275-325-715-1,285-2,827-3,341-3,575-6,425-14,135-16,705-36,751-70,675-83,525-183,755-918,775

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