Q: What are the factor combinations of the number 155,515,133?

 A:
Positive:   1 x 15551513317 x 914794919 x 818500743 x 3616631323 x 481471731 x 212743817 x 19034911197 x 13889
Negative: -1 x -155515133-17 x -9147949-19 x -8185007-43 x -3616631-323 x -481471-731 x -212743-817 x -190349-11197 x -13889


How do I find the factor combinations of the number 155,515,133?

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 155,515,133, 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.

1 155,515,133
-1 -155,515,133

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 155,515,133.

Example:
1 x 155,515,133 = 155,515,133
and
-1 x -155,515,133 = 155,515,133
Notice both answers equal 155,515,133

With that explanation out of the way, let's continue. Next, we take the number 155,515,133 and divide it by 2:

155,515,133 ÷ 2 = 77,757,566.5

If the quotient is a whole number, then 2 and 77,757,566.5 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:

1 155,515,133
-1 -155,515,133

Now, we try dividing 155,515,133 by 3:

155,515,133 ÷ 3 = 51,838,377.6667

If the quotient is a whole number, then 3 and 51,838,377.6667 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:

1 155,515,133
-1 -155,515,133

Let's try dividing by 4:

155,515,133 ÷ 4 = 38,878,783.25

If the quotient is a whole number, then 4 and 38,878,783.25 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:

1 155,515,133
-1 155,515,133
Keep dividing by the next highest number until you cannot divide anymore.

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

117194332373181711,19713,889190,349212,743481,4713,616,6318,185,0079,147,949155,515,133
-1-17-19-43-323-731-817-11,197-13,889-190,349-212,743-481,471-3,616,631-8,185,007-9,147,949-155,515,133

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