Q: What are the factor combinations of the number 1,098,671?

 A:
Positive:   1 x 10986717 x 15695331 x 3544161 x 1801183 x 13237217 x 5063427 x 2573581 x 1891
Negative: -1 x -1098671-7 x -156953-31 x -35441-61 x -18011-83 x -13237-217 x -5063-427 x -2573-581 x -1891


How do I find the factor combinations of the number 1,098,671?

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 1,098,671, 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 1,098,671
-1 -1,098,671

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 1,098,671.

Example:
1 x 1,098,671 = 1,098,671
and
-1 x -1,098,671 = 1,098,671
Notice both answers equal 1,098,671

With that explanation out of the way, let's continue. Next, we take the number 1,098,671 and divide it by 2:

1,098,671 ÷ 2 = 549,335.5

If the quotient is a whole number, then 2 and 549,335.5 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 1,098,671
-1 -1,098,671

Now, we try dividing 1,098,671 by 3:

1,098,671 ÷ 3 = 366,223.6667

If the quotient is a whole number, then 3 and 366,223.6667 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 1,098,671
-1 -1,098,671

Let's try dividing by 4:

1,098,671 ÷ 4 = 274,667.75

If the quotient is a whole number, then 4 and 274,667.75 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 1,098,671
-1 1,098,671
Keep dividing by the next highest number until you cannot divide anymore.

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

173161832174275811,8912,5735,06313,23718,01135,441156,9531,098,671
-1-7-31-61-83-217-427-581-1,891-2,573-5,063-13,237-18,011-35,441-156,953-1,098,671

More Examples

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