Q: What are the factor combinations of the number 555,020,153?

 A:
Positive:   1 x 55502015319 x 2921158723 x 24131311437 x 1270069727 x 7634391747 x 31769913813 x 4018116721 x 33193
Negative: -1 x -555020153-19 x -29211587-23 x -24131311-437 x -1270069-727 x -763439-1747 x -317699-13813 x -40181-16721 x -33193


How do I find the factor combinations of the number 555,020,153?

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 555,020,153, 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.

1 555,020,153
-1 -555,020,153

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 555,020,153.

Example:
1 x 555,020,153 = 555,020,153
and
-1 x -555,020,153 = 555,020,153
Notice both answers equal 555,020,153

With that explanation out of the way, let's continue. Next, we take the number 555,020,153 and divide it by 2:

555,020,153 ÷ 2 = 277,510,076.5

If the quotient is a whole number, then 2 and 277,510,076.5 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:

1 555,020,153
-1 -555,020,153

Now, we try dividing 555,020,153 by 3:

555,020,153 ÷ 3 = 185,006,717.6667

If the quotient is a whole number, then 3 and 185,006,717.6667 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:

1 555,020,153
-1 -555,020,153

Let's try dividing by 4:

555,020,153 ÷ 4 = 138,755,038.25

If the quotient is a whole number, then 4 and 138,755,038.25 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:

1 555,020,153
-1 555,020,153
Keep dividing by the next highest number until you cannot divide anymore.

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

119234377271,74713,81316,72133,19340,181317,699763,4391,270,06924,131,31129,211,587555,020,153
-1-19-23-437-727-1,747-13,813-16,721-33,193-40,181-317,699-763,439-1,270,069-24,131,311-29,211,587-555,020,153

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