Q: What are the factor combinations of the number 554,352,431?

 A:
Positive:   1 x 55435243141 x 1352079143 x 1289191789 x 62286791763 x 3144373533 x 1569073649 x 1519193827 x 144853
Negative: -1 x -554352431-41 x -13520791-43 x -12891917-89 x -6228679-1763 x -314437-3533 x -156907-3649 x -151919-3827 x -144853


How do I find the factor combinations of the number 554,352,431?

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 554,352,431, 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.

1 554,352,431
-1 -554,352,431

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 554,352,431.

Example:
1 x 554,352,431 = 554,352,431
and
-1 x -554,352,431 = 554,352,431
Notice both answers equal 554,352,431

With that explanation out of the way, let's continue. Next, we take the number 554,352,431 and divide it by 2:

554,352,431 ÷ 2 = 277,176,215.5

If the quotient is a whole number, then 2 and 277,176,215.5 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:

1 554,352,431
-1 -554,352,431

Now, we try dividing 554,352,431 by 3:

554,352,431 ÷ 3 = 184,784,143.6667

If the quotient is a whole number, then 3 and 184,784,143.6667 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:

1 554,352,431
-1 -554,352,431

Let's try dividing by 4:

554,352,431 ÷ 4 = 138,588,107.75

If the quotient is a whole number, then 4 and 138,588,107.75 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:

1 554,352,431
-1 554,352,431
Keep dividing by the next highest number until you cannot divide anymore.

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

14143891,7633,5333,6493,827144,853151,919156,907314,4376,228,67912,891,91713,520,791554,352,431
-1-41-43-89-1,763-3,533-3,649-3,827-144,853-151,919-156,907-314,437-6,228,679-12,891,917-13,520,791-554,352,431

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