Q: What are the factor combinations of the number 53,331,443?

 A:
Positive:   1 x 5333144311 x 4848313103 x 517781457 x 1166991133 x 470715027 x 10609
Negative: -1 x -53331443-11 x -4848313-103 x -517781-457 x -116699-1133 x -47071-5027 x -10609


How do I find the factor combinations of the number 53,331,443?

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 53,331,443, 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 53,331,443
-1 -53,331,443

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 53,331,443.

Example:
1 x 53,331,443 = 53,331,443
and
-1 x -53,331,443 = 53,331,443
Notice both answers equal 53,331,443

With that explanation out of the way, let's continue. Next, we take the number 53,331,443 and divide it by 2:

53,331,443 ÷ 2 = 26,665,721.5

If the quotient is a whole number, then 2 and 26,665,721.5 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 53,331,443
-1 -53,331,443

Now, we try dividing 53,331,443 by 3:

53,331,443 ÷ 3 = 17,777,147.6667

If the quotient is a whole number, then 3 and 17,777,147.6667 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 53,331,443
-1 -53,331,443

Let's try dividing by 4:

53,331,443 ÷ 4 = 13,332,860.75

If the quotient is a whole number, then 4 and 13,332,860.75 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 53,331,443
-1 53,331,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1111034571,1335,02710,60947,071116,699517,7814,848,31353,331,443
-1-11-103-457-1,133-5,027-10,609-47,071-116,699-517,781-4,848,313-53,331,443

More Examples

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