Q: What are the factor combinations of the number 558,036,011?

 A:
Positive:   1 x 55803601113 x 42925847167 x 3341533401 x 1391611641 x 8705712171 x 2570415213 x 1070478333 x 66967
Negative: -1 x -558036011-13 x -42925847-167 x -3341533-401 x -1391611-641 x -870571-2171 x -257041-5213 x -107047-8333 x -66967


How do I find the factor combinations of the number 558,036,011?

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 558,036,011, 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.

1 558,036,011
-1 -558,036,011

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 558,036,011.

Example:
1 x 558,036,011 = 558,036,011
and
-1 x -558,036,011 = 558,036,011
Notice both answers equal 558,036,011

With that explanation out of the way, let's continue. Next, we take the number 558,036,011 and divide it by 2:

558,036,011 ÷ 2 = 279,018,005.5

If the quotient is a whole number, then 2 and 279,018,005.5 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:

1 558,036,011
-1 -558,036,011

Now, we try dividing 558,036,011 by 3:

558,036,011 ÷ 3 = 186,012,003.6667

If the quotient is a whole number, then 3 and 186,012,003.6667 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:

1 558,036,011
-1 -558,036,011

Let's try dividing by 4:

558,036,011 ÷ 4 = 139,509,002.75

If the quotient is a whole number, then 4 and 139,509,002.75 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:

1 558,036,011
-1 558,036,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1131674016412,1715,2138,33366,967107,047257,041870,5711,391,6113,341,53342,925,847558,036,011
-1-13-167-401-641-2,171-5,213-8,333-66,967-107,047-257,041-870,571-1,391,611-3,341,533-42,925,847-558,036,011

More Examples

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