Q: What are the factor combinations of the number 5,432,537?

 A:
Positive:   1 x 543253711 x 49386717 x 31956119 x 285923121 x 44897139 x 39083187 x 29051209 x 25993323 x 168191529 x 35532057 x 26412299 x 2363
Negative: -1 x -5432537-11 x -493867-17 x -319561-19 x -285923-121 x -44897-139 x -39083-187 x -29051-209 x -25993-323 x -16819-1529 x -3553-2057 x -2641-2299 x -2363


How do I find the factor combinations of the number 5,432,537?

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 5,432,537, 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 5,432,537
-1 -5,432,537

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 5,432,537.

Example:
1 x 5,432,537 = 5,432,537
and
-1 x -5,432,537 = 5,432,537
Notice both answers equal 5,432,537

With that explanation out of the way, let's continue. Next, we take the number 5,432,537 and divide it by 2:

5,432,537 ÷ 2 = 2,716,268.5

If the quotient is a whole number, then 2 and 2,716,268.5 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 5,432,537
-1 -5,432,537

Now, we try dividing 5,432,537 by 3:

5,432,537 ÷ 3 = 1,810,845.6667

If the quotient is a whole number, then 3 and 1,810,845.6667 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 5,432,537
-1 -5,432,537

Let's try dividing by 4:

5,432,537 ÷ 4 = 1,358,134.25

If the quotient is a whole number, then 4 and 1,358,134.25 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 5,432,537
-1 5,432,537
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191211391872093231,5292,0572,2992,3632,6413,55316,81925,99329,05139,08344,897285,923319,561493,8675,432,537
-1-11-17-19-121-139-187-209-323-1,529-2,057-2,299-2,363-2,641-3,553-16,819-25,993-29,051-39,083-44,897-285,923-319,561-493,867-5,432,537

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