Q: What are the factor combinations of the number 5,201,335?

 A:
Positive:   1 x 52013355 x 104026723 x 22614531 x 167785115 x 45229155 x 33557713 x 72951459 x 3565
Negative: -1 x -5201335-5 x -1040267-23 x -226145-31 x -167785-115 x -45229-155 x -33557-713 x -7295-1459 x -3565


How do I find the factor combinations of the number 5,201,335?

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 5,201,335, 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 5,201,335
-1 -5,201,335

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 5,201,335.

Example:
1 x 5,201,335 = 5,201,335
and
-1 x -5,201,335 = 5,201,335
Notice both answers equal 5,201,335

With that explanation out of the way, let's continue. Next, we take the number 5,201,335 and divide it by 2:

5,201,335 ÷ 2 = 2,600,667.5

If the quotient is a whole number, then 2 and 2,600,667.5 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 5,201,335
-1 -5,201,335

Now, we try dividing 5,201,335 by 3:

5,201,335 ÷ 3 = 1,733,778.3333

If the quotient is a whole number, then 3 and 1,733,778.3333 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 5,201,335
-1 -5,201,335

Let's try dividing by 4:

5,201,335 ÷ 4 = 1,300,333.75

If the quotient is a whole number, then 4 and 1,300,333.75 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 5,201,335
-1 5,201,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311151557131,4593,5657,29533,55745,229167,785226,1451,040,2675,201,335
-1-5-23-31-115-155-713-1,459-3,565-7,295-33,557-45,229-167,785-226,145-1,040,267-5,201,335

More Examples

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