Q: What are the factor combinations of the number 5,321,335?

 A:
Positive:   1 x 53213355 x 106426761 x 8723573 x 72895239 x 22265305 x 17447365 x 145791195 x 4453
Negative: -1 x -5321335-5 x -1064267-61 x -87235-73 x -72895-239 x -22265-305 x -17447-365 x -14579-1195 x -4453


How do I find the factor combinations of the number 5,321,335?

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 5,321,335, 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 5,321,335
-1 -5,321,335

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 5,321,335.

Example:
1 x 5,321,335 = 5,321,335
and
-1 x -5,321,335 = 5,321,335
Notice both answers equal 5,321,335

With that explanation out of the way, let's continue. Next, we take the number 5,321,335 and divide it by 2:

5,321,335 ÷ 2 = 2,660,667.5

If the quotient is a whole number, then 2 and 2,660,667.5 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 5,321,335
-1 -5,321,335

Now, we try dividing 5,321,335 by 3:

5,321,335 ÷ 3 = 1,773,778.3333

If the quotient is a whole number, then 3 and 1,773,778.3333 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 5,321,335
-1 -5,321,335

Let's try dividing by 4:

5,321,335 ÷ 4 = 1,330,333.75

If the quotient is a whole number, then 4 and 1,330,333.75 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 5,321,335
-1 5,321,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1561732393053651,1954,45314,57917,44722,26572,89587,2351,064,2675,321,335
-1-5-61-73-239-305-365-1,195-4,453-14,579-17,447-22,265-72,895-87,235-1,064,267-5,321,335

More Examples

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