Q: What are the factor combinations of the number 552,313,337?

 A:
Positive:   1 x 55231333719 x 2906912341 x 1347105759 x 936124361 x 9054317197 x 2803621779 x 7090031121 x 4926971159 x 4765432419 x 2283232501 x 2208373599 x 1534633743 x 1475598077 x 6838111623 x 4751912017 x 45961
Negative: -1 x -552313337-19 x -29069123-41 x -13471057-59 x -9361243-61 x -9054317-197 x -2803621-779 x -709003-1121 x -492697-1159 x -476543-2419 x -228323-2501 x -220837-3599 x -153463-3743 x -147559-8077 x -68381-11623 x -47519-12017 x -45961


How do I find the factor combinations of the number 552,313,337?

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 552,313,337, 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.

1 552,313,337
-1 -552,313,337

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 552,313,337.

Example:
1 x 552,313,337 = 552,313,337
and
-1 x -552,313,337 = 552,313,337
Notice both answers equal 552,313,337

With that explanation out of the way, let's continue. Next, we take the number 552,313,337 and divide it by 2:

552,313,337 ÷ 2 = 276,156,668.5

If the quotient is a whole number, then 2 and 276,156,668.5 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:

1 552,313,337
-1 -552,313,337

Now, we try dividing 552,313,337 by 3:

552,313,337 ÷ 3 = 184,104,445.6667

If the quotient is a whole number, then 3 and 184,104,445.6667 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:

1 552,313,337
-1 -552,313,337

Let's try dividing by 4:

552,313,337 ÷ 4 = 138,078,334.25

If the quotient is a whole number, then 4 and 138,078,334.25 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:

1 552,313,337
-1 552,313,337
Keep dividing by the next highest number until you cannot divide anymore.

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

1194159611977791,1211,1592,4192,5013,5993,7438,07711,62312,01745,96147,51968,381147,559153,463220,837228,323476,543492,697709,0032,803,6219,054,3179,361,24313,471,05729,069,123552,313,337
-1-19-41-59-61-197-779-1,121-1,159-2,419-2,501-3,599-3,743-8,077-11,623-12,017-45,961-47,519-68,381-147,559-153,463-220,837-228,323-476,543-492,697-709,003-2,803,621-9,054,317-9,361,243-13,471,057-29,069,123-552,313,337

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