Q: What are the factor combinations of the number 555,344,141?

 A:
Positive:   1 x 55534414111 x 5048583119 x 29228639121 x 4589621209 x 26571492299 x 241559
Negative: -1 x -555344141-11 x -50485831-19 x -29228639-121 x -4589621-209 x -2657149-2299 x -241559


How do I find the factor combinations of the number 555,344,141?

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 555,344,141, 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.

1 555,344,141
-1 -555,344,141

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 555,344,141.

Example:
1 x 555,344,141 = 555,344,141
and
-1 x -555,344,141 = 555,344,141
Notice both answers equal 555,344,141

With that explanation out of the way, let's continue. Next, we take the number 555,344,141 and divide it by 2:

555,344,141 ÷ 2 = 277,672,070.5

If the quotient is a whole number, then 2 and 277,672,070.5 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:

1 555,344,141
-1 -555,344,141

Now, we try dividing 555,344,141 by 3:

555,344,141 ÷ 3 = 185,114,713.6667

If the quotient is a whole number, then 3 and 185,114,713.6667 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:

1 555,344,141
-1 -555,344,141

Let's try dividing by 4:

555,344,141 ÷ 4 = 138,836,035.25

If the quotient is a whole number, then 4 and 138,836,035.25 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:

1 555,344,141
-1 555,344,141
Keep dividing by the next highest number until you cannot divide anymore.

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

111191212092,299241,5592,657,1494,589,62129,228,63950,485,831555,344,141
-1-11-19-121-209-2,299-241,559-2,657,149-4,589,621-29,228,639-50,485,831-555,344,141

More Examples

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