Q: What are the factor combinations of the number 155,802,773?

 A:
Positive:   1 x 1558027737 x 2225753917 x 916486979 x 1972187119 x 1309267553 x 2817411343 x 1160119401 x 16573
Negative: -1 x -155802773-7 x -22257539-17 x -9164869-79 x -1972187-119 x -1309267-553 x -281741-1343 x -116011-9401 x -16573


How do I find the factor combinations of the number 155,802,773?

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 155,802,773, 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.

1 155,802,773
-1 -155,802,773

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 155,802,773.

Example:
1 x 155,802,773 = 155,802,773
and
-1 x -155,802,773 = 155,802,773
Notice both answers equal 155,802,773

With that explanation out of the way, let's continue. Next, we take the number 155,802,773 and divide it by 2:

155,802,773 ÷ 2 = 77,901,386.5

If the quotient is a whole number, then 2 and 77,901,386.5 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:

1 155,802,773
-1 -155,802,773

Now, we try dividing 155,802,773 by 3:

155,802,773 ÷ 3 = 51,934,257.6667

If the quotient is a whole number, then 3 and 51,934,257.6667 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:

1 155,802,773
-1 -155,802,773

Let's try dividing by 4:

155,802,773 ÷ 4 = 38,950,693.25

If the quotient is a whole number, then 4 and 38,950,693.25 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:

1 155,802,773
-1 155,802,773
Keep dividing by the next highest number until you cannot divide anymore.

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

1717791195531,3439,40116,573116,011281,7411,309,2671,972,1879,164,86922,257,539155,802,773
-1-7-17-79-119-553-1,343-9,401-16,573-116,011-281,741-1,309,267-1,972,187-9,164,869-22,257,539-155,802,773

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