Q: What are the factor combinations of the number 155,402,645?

 A:
Positive:   1 x 1554026455 x 3108052943 x 3614015215 x 722803269 x 5777051345 x 1155412687 x 5783511567 x 13435
Negative: -1 x -155402645-5 x -31080529-43 x -3614015-215 x -722803-269 x -577705-1345 x -115541-2687 x -57835-11567 x -13435


How do I find the factor combinations of the number 155,402,645?

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 155,402,645, 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.

1 155,402,645
-1 -155,402,645

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 155,402,645.

Example:
1 x 155,402,645 = 155,402,645
and
-1 x -155,402,645 = 155,402,645
Notice both answers equal 155,402,645

With that explanation out of the way, let's continue. Next, we take the number 155,402,645 and divide it by 2:

155,402,645 ÷ 2 = 77,701,322.5

If the quotient is a whole number, then 2 and 77,701,322.5 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:

1 155,402,645
-1 -155,402,645

Now, we try dividing 155,402,645 by 3:

155,402,645 ÷ 3 = 51,800,881.6667

If the quotient is a whole number, then 3 and 51,800,881.6667 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:

1 155,402,645
-1 -155,402,645

Let's try dividing by 4:

155,402,645 ÷ 4 = 38,850,661.25

If the quotient is a whole number, then 4 and 38,850,661.25 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:

1 155,402,645
-1 155,402,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15432152691,3452,68711,56713,43557,835115,541577,705722,8033,614,01531,080,529155,402,645
-1-5-43-215-269-1,345-2,687-11,567-13,435-57,835-115,541-577,705-722,803-3,614,015-31,080,529-155,402,645

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