Q: What are the factor combinations of the number 1,301,363?

 A:
Positive:   1 x 13013637 x 18590923 x 5658159 x 22057137 x 9499161 x 8083413 x 3151959 x 1357
Negative: -1 x -1301363-7 x -185909-23 x -56581-59 x -22057-137 x -9499-161 x -8083-413 x -3151-959 x -1357


How do I find the factor combinations of the number 1,301,363?

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 1,301,363, 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 1,301,363
-1 -1,301,363

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 1,301,363.

Example:
1 x 1,301,363 = 1,301,363
and
-1 x -1,301,363 = 1,301,363
Notice both answers equal 1,301,363

With that explanation out of the way, let's continue. Next, we take the number 1,301,363 and divide it by 2:

1,301,363 ÷ 2 = 650,681.5

If the quotient is a whole number, then 2 and 650,681.5 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 1,301,363
-1 -1,301,363

Now, we try dividing 1,301,363 by 3:

1,301,363 ÷ 3 = 433,787.6667

If the quotient is a whole number, then 3 and 433,787.6667 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 1,301,363
-1 -1,301,363

Let's try dividing by 4:

1,301,363 ÷ 4 = 325,340.75

If the quotient is a whole number, then 4 and 325,340.75 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 1,301,363
-1 1,301,363
Keep dividing by the next highest number until you cannot divide anymore.

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

1723591371614139591,3573,1518,0839,49922,05756,581185,9091,301,363
-1-7-23-59-137-161-413-959-1,357-3,151-8,083-9,499-22,057-56,581-185,909-1,301,363

More Examples

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