Q: What are the factor combinations of the number 155,693,489?

 A:
Positive:   1 x 1556934897 x 2224192729 x 536874153 x 2937613203 x 766963371 x 419659499 x 312011841 x 1851291537 x 1012973493 x 445735887 x 2644710759 x 14471
Negative: -1 x -155693489-7 x -22241927-29 x -5368741-53 x -2937613-203 x -766963-371 x -419659-499 x -312011-841 x -185129-1537 x -101297-3493 x -44573-5887 x -26447-10759 x -14471


How do I find the factor combinations of the number 155,693,489?

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 155,693,489, 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.

1 155,693,489
-1 -155,693,489

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 155,693,489.

Example:
1 x 155,693,489 = 155,693,489
and
-1 x -155,693,489 = 155,693,489
Notice both answers equal 155,693,489

With that explanation out of the way, let's continue. Next, we take the number 155,693,489 and divide it by 2:

155,693,489 ÷ 2 = 77,846,744.5

If the quotient is a whole number, then 2 and 77,846,744.5 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:

1 155,693,489
-1 -155,693,489

Now, we try dividing 155,693,489 by 3:

155,693,489 ÷ 3 = 51,897,829.6667

If the quotient is a whole number, then 3 and 51,897,829.6667 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:

1 155,693,489
-1 -155,693,489

Let's try dividing by 4:

155,693,489 ÷ 4 = 38,923,372.25

If the quotient is a whole number, then 4 and 38,923,372.25 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:

1 155,693,489
-1 155,693,489
Keep dividing by the next highest number until you cannot divide anymore.

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

1729532033714998411,5373,4935,88710,75914,47126,44744,573101,297185,129312,011419,659766,9632,937,6135,368,74122,241,927155,693,489
-1-7-29-53-203-371-499-841-1,537-3,493-5,887-10,759-14,471-26,447-44,573-101,297-185,129-312,011-419,659-766,963-2,937,613-5,368,741-22,241,927-155,693,489

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