Q: What are the factor combinations of the number 155,331,235?

 A:
Positive:   1 x 1553312355 x 3106624731 x 5010685155 x 1002137961 x 1616354805 x 32327
Negative: -1 x -155331235-5 x -31066247-31 x -5010685-155 x -1002137-961 x -161635-4805 x -32327


How do I find the factor combinations of the number 155,331,235?

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 155,331,235, 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.

1 155,331,235
-1 -155,331,235

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 155,331,235.

Example:
1 x 155,331,235 = 155,331,235
and
-1 x -155,331,235 = 155,331,235
Notice both answers equal 155,331,235

With that explanation out of the way, let's continue. Next, we take the number 155,331,235 and divide it by 2:

155,331,235 ÷ 2 = 77,665,617.5

If the quotient is a whole number, then 2 and 77,665,617.5 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:

1 155,331,235
-1 -155,331,235

Now, we try dividing 155,331,235 by 3:

155,331,235 ÷ 3 = 51,777,078.3333

If the quotient is a whole number, then 3 and 51,777,078.3333 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:

1 155,331,235
-1 -155,331,235

Let's try dividing by 4:

155,331,235 ÷ 4 = 38,832,808.75

If the quotient is a whole number, then 4 and 38,832,808.75 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:

1 155,331,235
-1 155,331,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15311559614,80532,327161,6351,002,1375,010,68531,066,247155,331,235
-1-5-31-155-961-4,805-32,327-161,635-1,002,137-5,010,685-31,066,247-155,331,235

More Examples

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