Q: What are the factor combinations of the number 5,363,435?

 A:
Positive:   1 x 53634355 x 10726877 x 76620511 x 48758535 x 15324155 x 9751777 x 69655385 x 13931
Negative: -1 x -5363435-5 x -1072687-7 x -766205-11 x -487585-35 x -153241-55 x -97517-77 x -69655-385 x -13931


How do I find the factor combinations of the number 5,363,435?

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 5,363,435, 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 5,363,435
-1 -5,363,435

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 5,363,435.

Example:
1 x 5,363,435 = 5,363,435
and
-1 x -5,363,435 = 5,363,435
Notice both answers equal 5,363,435

With that explanation out of the way, let's continue. Next, we take the number 5,363,435 and divide it by 2:

5,363,435 ÷ 2 = 2,681,717.5

If the quotient is a whole number, then 2 and 2,681,717.5 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 5,363,435
-1 -5,363,435

Now, we try dividing 5,363,435 by 3:

5,363,435 ÷ 3 = 1,787,811.6667

If the quotient is a whole number, then 3 and 1,787,811.6667 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 5,363,435
-1 -5,363,435

Let's try dividing by 4:

5,363,435 ÷ 4 = 1,340,858.75

If the quotient is a whole number, then 4 and 1,340,858.75 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 5,363,435
-1 5,363,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738513,93169,65597,517153,241487,585766,2051,072,6875,363,435
-1-5-7-11-35-55-77-385-13,931-69,655-97,517-153,241-487,585-766,205-1,072,687-5,363,435

More Examples

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