Q: What are the factor combinations of the number 1,321,355?

 A:
Positive:   1 x 13213555 x 2642717 x 18876519 x 6954535 x 3775395 x 13909133 x 9935665 x 1987
Negative: -1 x -1321355-5 x -264271-7 x -188765-19 x -69545-35 x -37753-95 x -13909-133 x -9935-665 x -1987


How do I find the factor combinations of the number 1,321,355?

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 1,321,355, 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 1,321,355
-1 -1,321,355

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 1,321,355.

Example:
1 x 1,321,355 = 1,321,355
and
-1 x -1,321,355 = 1,321,355
Notice both answers equal 1,321,355

With that explanation out of the way, let's continue. Next, we take the number 1,321,355 and divide it by 2:

1,321,355 ÷ 2 = 660,677.5

If the quotient is a whole number, then 2 and 660,677.5 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 1,321,355
-1 -1,321,355

Now, we try dividing 1,321,355 by 3:

1,321,355 ÷ 3 = 440,451.6667

If the quotient is a whole number, then 3 and 440,451.6667 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 1,321,355
-1 -1,321,355

Let's try dividing by 4:

1,321,355 ÷ 4 = 330,338.75

If the quotient is a whole number, then 4 and 330,338.75 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 1,321,355
-1 1,321,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951336651,9879,93513,90937,75369,545188,765264,2711,321,355
-1-5-7-19-35-95-133-665-1,987-9,935-13,909-37,753-69,545-188,765-264,271-1,321,355

More Examples

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