Q: What are the factor combinations of the number 133,153,355?

 A:
Positive:   1 x 1331533555 x 2663067129 x 459149597 x 1372715145 x 918299485 x 2745432813 x 473359467 x 14065
Negative: -1 x -133153355-5 x -26630671-29 x -4591495-97 x -1372715-145 x -918299-485 x -274543-2813 x -47335-9467 x -14065


How do I find the factor combinations of the number 133,153,355?

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 133,153,355, 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.

1 133,153,355
-1 -133,153,355

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 133,153,355.

Example:
1 x 133,153,355 = 133,153,355
and
-1 x -133,153,355 = 133,153,355
Notice both answers equal 133,153,355

With that explanation out of the way, let's continue. Next, we take the number 133,153,355 and divide it by 2:

133,153,355 ÷ 2 = 66,576,677.5

If the quotient is a whole number, then 2 and 66,576,677.5 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:

1 133,153,355
-1 -133,153,355

Now, we try dividing 133,153,355 by 3:

133,153,355 ÷ 3 = 44,384,451.6667

If the quotient is a whole number, then 3 and 44,384,451.6667 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:

1 133,153,355
-1 -133,153,355

Let's try dividing by 4:

133,153,355 ÷ 4 = 33,288,338.75

If the quotient is a whole number, then 4 and 33,288,338.75 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:

1 133,153,355
-1 133,153,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1529971454852,8139,46714,06547,335274,543918,2991,372,7154,591,49526,630,671133,153,355
-1-5-29-97-145-485-2,813-9,467-14,065-47,335-274,543-918,299-1,372,715-4,591,495-26,630,671-133,153,355

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