Q: What are the factor combinations of the number 543,545,155?

 A:
Positive:   1 x 5435451555 x 10870903143 x 12640585215 x 2528117733 x 7415353449 x 1575953665 x 14830717245 x 31519
Negative: -1 x -543545155-5 x -108709031-43 x -12640585-215 x -2528117-733 x -741535-3449 x -157595-3665 x -148307-17245 x -31519


How do I find the factor combinations of the number 543,545,155?

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 543,545,155, 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.

1 543,545,155
-1 -543,545,155

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 543,545,155.

Example:
1 x 543,545,155 = 543,545,155
and
-1 x -543,545,155 = 543,545,155
Notice both answers equal 543,545,155

With that explanation out of the way, let's continue. Next, we take the number 543,545,155 and divide it by 2:

543,545,155 ÷ 2 = 271,772,577.5

If the quotient is a whole number, then 2 and 271,772,577.5 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:

1 543,545,155
-1 -543,545,155

Now, we try dividing 543,545,155 by 3:

543,545,155 ÷ 3 = 181,181,718.3333

If the quotient is a whole number, then 3 and 181,181,718.3333 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:

1 543,545,155
-1 -543,545,155

Let's try dividing by 4:

543,545,155 ÷ 4 = 135,886,288.75

If the quotient is a whole number, then 4 and 135,886,288.75 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:

1 543,545,155
-1 543,545,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15432157333,4493,66517,24531,519148,307157,595741,5352,528,11712,640,585108,709,031543,545,155
-1-5-43-215-733-3,449-3,665-17,245-31,519-148,307-157,595-741,535-2,528,117-12,640,585-108,709,031-543,545,155

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