Q: What are the factor combinations of the number 554,150,339?

 A:
Positive:   1 x 55415033923 x 24093493241 x 2299379257 x 2156227389 x 14245515543 x 999735911 x 937498947 x 61937
Negative: -1 x -554150339-23 x -24093493-241 x -2299379-257 x -2156227-389 x -1424551-5543 x -99973-5911 x -93749-8947 x -61937


How do I find the factor combinations of the number 554,150,339?

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 554,150,339, 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.

1 554,150,339
-1 -554,150,339

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 554,150,339.

Example:
1 x 554,150,339 = 554,150,339
and
-1 x -554,150,339 = 554,150,339
Notice both answers equal 554,150,339

With that explanation out of the way, let's continue. Next, we take the number 554,150,339 and divide it by 2:

554,150,339 ÷ 2 = 277,075,169.5

If the quotient is a whole number, then 2 and 277,075,169.5 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:

1 554,150,339
-1 -554,150,339

Now, we try dividing 554,150,339 by 3:

554,150,339 ÷ 3 = 184,716,779.6667

If the quotient is a whole number, then 3 and 184,716,779.6667 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:

1 554,150,339
-1 -554,150,339

Let's try dividing by 4:

554,150,339 ÷ 4 = 138,537,584.75

If the quotient is a whole number, then 4 and 138,537,584.75 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:

1 554,150,339
-1 554,150,339
Keep dividing by the next highest number until you cannot divide anymore.

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

1232412573895,5435,9118,94761,93793,74999,9731,424,5512,156,2272,299,37924,093,493554,150,339
-1-23-241-257-389-5,543-5,911-8,947-61,937-93,749-99,973-1,424,551-2,156,227-2,299,379-24,093,493-554,150,339

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