Q: What are the factor combinations of the number 155,906,135?

 A:
Positive:   1 x 1559061355 x 311812277 x 2227230511 x 1417328535 x 445446155 x 283465777 x 2024755385 x 404951
Negative: -1 x -155906135-5 x -31181227-7 x -22272305-11 x -14173285-35 x -4454461-55 x -2834657-77 x -2024755-385 x -404951


How do I find the factor combinations of the number 155,906,135?

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 155,906,135, 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.

1 155,906,135
-1 -155,906,135

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 155,906,135.

Example:
1 x 155,906,135 = 155,906,135
and
-1 x -155,906,135 = 155,906,135
Notice both answers equal 155,906,135

With that explanation out of the way, let's continue. Next, we take the number 155,906,135 and divide it by 2:

155,906,135 ÷ 2 = 77,953,067.5

If the quotient is a whole number, then 2 and 77,953,067.5 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:

1 155,906,135
-1 -155,906,135

Now, we try dividing 155,906,135 by 3:

155,906,135 ÷ 3 = 51,968,711.6667

If the quotient is a whole number, then 3 and 51,968,711.6667 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:

1 155,906,135
-1 -155,906,135

Let's try dividing by 4:

155,906,135 ÷ 4 = 38,976,533.75

If the quotient is a whole number, then 4 and 38,976,533.75 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:

1 155,906,135
-1 155,906,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385404,9512,024,7552,834,6574,454,46114,173,28522,272,30531,181,227155,906,135
-1-5-7-11-35-55-77-385-404,951-2,024,755-2,834,657-4,454,461-14,173,285-22,272,305-31,181,227-155,906,135

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