Q: What are the factor combinations of the number 552,504,337?

 A:
Positive:   1 x 5525043377 x 7892919111 x 5022766777 x 717538197 x 5695921679 x 8137031067 x 5178117469 x 73973
Negative: -1 x -552504337-7 x -78929191-11 x -50227667-77 x -7175381-97 x -5695921-679 x -813703-1067 x -517811-7469 x -73973


How do I find the factor combinations of the number 552,504,337?

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 552,504,337, 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.

1 552,504,337
-1 -552,504,337

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 552,504,337.

Example:
1 x 552,504,337 = 552,504,337
and
-1 x -552,504,337 = 552,504,337
Notice both answers equal 552,504,337

With that explanation out of the way, let's continue. Next, we take the number 552,504,337 and divide it by 2:

552,504,337 ÷ 2 = 276,252,168.5

If the quotient is a whole number, then 2 and 276,252,168.5 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:

1 552,504,337
-1 -552,504,337

Now, we try dividing 552,504,337 by 3:

552,504,337 ÷ 3 = 184,168,112.3333

If the quotient is a whole number, then 3 and 184,168,112.3333 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:

1 552,504,337
-1 -552,504,337

Let's try dividing by 4:

552,504,337 ÷ 4 = 138,126,084.25

If the quotient is a whole number, then 4 and 138,126,084.25 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:

1 552,504,337
-1 552,504,337
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0677,46973,973517,811813,7035,695,9217,175,38150,227,66778,929,191552,504,337
-1-7-11-77-97-679-1,067-7,469-73,973-517,811-813,703-5,695,921-7,175,381-50,227,667-78,929,191-552,504,337

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