Q: What are the factor combinations of the number 155,141,119?

 A:
Positive:   1 x 1551411197 x 2216301743 x 3607933107 x 1449917301 x 515419749 x 2071314601 x 337194817 x 32207
Negative: -1 x -155141119-7 x -22163017-43 x -3607933-107 x -1449917-301 x -515419-749 x -207131-4601 x -33719-4817 x -32207


How do I find the factor combinations of the number 155,141,119?

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 155,141,119, 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.

1 155,141,119
-1 -155,141,119

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 155,141,119.

Example:
1 x 155,141,119 = 155,141,119
and
-1 x -155,141,119 = 155,141,119
Notice both answers equal 155,141,119

With that explanation out of the way, let's continue. Next, we take the number 155,141,119 and divide it by 2:

155,141,119 ÷ 2 = 77,570,559.5

If the quotient is a whole number, then 2 and 77,570,559.5 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:

1 155,141,119
-1 -155,141,119

Now, we try dividing 155,141,119 by 3:

155,141,119 ÷ 3 = 51,713,706.3333

If the quotient is a whole number, then 3 and 51,713,706.3333 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:

1 155,141,119
-1 -155,141,119

Let's try dividing by 4:

155,141,119 ÷ 4 = 38,785,279.75

If the quotient is a whole number, then 4 and 38,785,279.75 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:

1 155,141,119
-1 155,141,119
Keep dividing by the next highest number until you cannot divide anymore.

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

17431073017494,6014,81732,20733,719207,131515,4191,449,9173,607,93322,163,017155,141,119
-1-7-43-107-301-749-4,601-4,817-32,207-33,719-207,131-515,419-1,449,917-3,607,933-22,163,017-155,141,119

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