Q: What are the factor combinations of the number 1,169,021?

 A:
Positive:   1 x 11690217 x 16700323 x 5082753 x 22057137 x 8533161 x 7261371 x 3151959 x 1219
Negative: -1 x -1169021-7 x -167003-23 x -50827-53 x -22057-137 x -8533-161 x -7261-371 x -3151-959 x -1219


How do I find the factor combinations of the number 1,169,021?

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 1,169,021, 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 1,169,021
-1 -1,169,021

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 1,169,021.

Example:
1 x 1,169,021 = 1,169,021
and
-1 x -1,169,021 = 1,169,021
Notice both answers equal 1,169,021

With that explanation out of the way, let's continue. Next, we take the number 1,169,021 and divide it by 2:

1,169,021 ÷ 2 = 584,510.5

If the quotient is a whole number, then 2 and 584,510.5 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 1,169,021
-1 -1,169,021

Now, we try dividing 1,169,021 by 3:

1,169,021 ÷ 3 = 389,673.6667

If the quotient is a whole number, then 3 and 389,673.6667 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 1,169,021
-1 -1,169,021

Let's try dividing by 4:

1,169,021 ÷ 4 = 292,255.25

If the quotient is a whole number, then 4 and 292,255.25 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 1,169,021
-1 1,169,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1723531371613719591,2193,1517,2618,53322,05750,827167,0031,169,021
-1-7-23-53-137-161-371-959-1,219-3,151-7,261-8,533-22,057-50,827-167,003-1,169,021

More Examples

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