Q: What are the factor combinations of the number 538,652,765?

 A:
Positive:   1 x 5386527655 x 1077305537 x 7695039535 x 1539007973 x 7378805365 x 1475761511 x 10541152555 x 210823
Negative: -1 x -538652765-5 x -107730553-7 x -76950395-35 x -15390079-73 x -7378805-365 x -1475761-511 x -1054115-2555 x -210823


How do I find the factor combinations of the number 538,652,765?

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 538,652,765, 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.

1 538,652,765
-1 -538,652,765

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 538,652,765.

Example:
1 x 538,652,765 = 538,652,765
and
-1 x -538,652,765 = 538,652,765
Notice both answers equal 538,652,765

With that explanation out of the way, let's continue. Next, we take the number 538,652,765 and divide it by 2:

538,652,765 ÷ 2 = 269,326,382.5

If the quotient is a whole number, then 2 and 269,326,382.5 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:

1 538,652,765
-1 -538,652,765

Now, we try dividing 538,652,765 by 3:

538,652,765 ÷ 3 = 179,550,921.6667

If the quotient is a whole number, then 3 and 179,550,921.6667 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:

1 538,652,765
-1 -538,652,765

Let's try dividing by 4:

538,652,765 ÷ 4 = 134,663,191.25

If the quotient is a whole number, then 4 and 134,663,191.25 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:

1 538,652,765
-1 538,652,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733655112,555210,8231,054,1151,475,7617,378,80515,390,07976,950,395107,730,553538,652,765
-1-5-7-35-73-365-511-2,555-210,823-1,054,115-1,475,761-7,378,805-15,390,079-76,950,395-107,730,553-538,652,765

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