Q: What are the factor combinations of the number 155,504,335?

 A:
Positive:   1 x 1555043355 x 311008677 x 2221490535 x 44429812039 x 762652179 x 7136510195 x 1525310895 x 14273
Negative: -1 x -155504335-5 x -31100867-7 x -22214905-35 x -4442981-2039 x -76265-2179 x -71365-10195 x -15253-10895 x -14273


How do I find the factor combinations of the number 155,504,335?

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 155,504,335, 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.

1 155,504,335
-1 -155,504,335

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 155,504,335.

Example:
1 x 155,504,335 = 155,504,335
and
-1 x -155,504,335 = 155,504,335
Notice both answers equal 155,504,335

With that explanation out of the way, let's continue. Next, we take the number 155,504,335 and divide it by 2:

155,504,335 ÷ 2 = 77,752,167.5

If the quotient is a whole number, then 2 and 77,752,167.5 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:

1 155,504,335
-1 -155,504,335

Now, we try dividing 155,504,335 by 3:

155,504,335 ÷ 3 = 51,834,778.3333

If the quotient is a whole number, then 3 and 51,834,778.3333 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:

1 155,504,335
-1 -155,504,335

Let's try dividing by 4:

155,504,335 ÷ 4 = 38,876,083.75

If the quotient is a whole number, then 4 and 38,876,083.75 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:

1 155,504,335
-1 155,504,335
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,0392,17910,19510,89514,27315,25371,36576,2654,442,98122,214,90531,100,867155,504,335
-1-5-7-35-2,039-2,179-10,195-10,895-14,273-15,253-71,365-76,265-4,442,981-22,214,905-31,100,867-155,504,335

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