Q: What are the factor combinations of the number 543,305,135?

 A:
Positive:   1 x 5433051355 x 10866102771 x 765218583 x 6545845355 x 1530437415 x 13091695893 x 9219518439 x 29465
Negative: -1 x -543305135-5 x -108661027-71 x -7652185-83 x -6545845-355 x -1530437-415 x -1309169-5893 x -92195-18439 x -29465


How do I find the factor combinations of the number 543,305,135?

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 543,305,135, 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.

1 543,305,135
-1 -543,305,135

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 543,305,135.

Example:
1 x 543,305,135 = 543,305,135
and
-1 x -543,305,135 = 543,305,135
Notice both answers equal 543,305,135

With that explanation out of the way, let's continue. Next, we take the number 543,305,135 and divide it by 2:

543,305,135 ÷ 2 = 271,652,567.5

If the quotient is a whole number, then 2 and 271,652,567.5 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:

1 543,305,135
-1 -543,305,135

Now, we try dividing 543,305,135 by 3:

543,305,135 ÷ 3 = 181,101,711.6667

If the quotient is a whole number, then 3 and 181,101,711.6667 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:

1 543,305,135
-1 -543,305,135

Let's try dividing by 4:

543,305,135 ÷ 4 = 135,826,283.75

If the quotient is a whole number, then 4 and 135,826,283.75 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:

1 543,305,135
-1 543,305,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1571833554155,89318,43929,46592,1951,309,1691,530,4376,545,8457,652,185108,661,027543,305,135
-1-5-71-83-355-415-5,893-18,439-29,465-92,195-1,309,169-1,530,437-6,545,845-7,652,185-108,661,027-543,305,135

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