Q: What are the factor combinations of the number 5,558,399?

 A:
Positive:   1 x 55583997 x 79405711 x 50530937 x 15022777 x 72187259 x 21461407 x 136571951 x 2849
Negative: -1 x -5558399-7 x -794057-11 x -505309-37 x -150227-77 x -72187-259 x -21461-407 x -13657-1951 x -2849


How do I find the factor combinations of the number 5,558,399?

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 5,558,399, 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 5,558,399
-1 -5,558,399

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 5,558,399.

Example:
1 x 5,558,399 = 5,558,399
and
-1 x -5,558,399 = 5,558,399
Notice both answers equal 5,558,399

With that explanation out of the way, let's continue. Next, we take the number 5,558,399 and divide it by 2:

5,558,399 ÷ 2 = 2,779,199.5

If the quotient is a whole number, then 2 and 2,779,199.5 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 5,558,399
-1 -5,558,399

Now, we try dividing 5,558,399 by 3:

5,558,399 ÷ 3 = 1,852,799.6667

If the quotient is a whole number, then 3 and 1,852,799.6667 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 5,558,399
-1 -5,558,399

Let's try dividing by 4:

5,558,399 ÷ 4 = 1,389,599.75

If the quotient is a whole number, then 4 and 1,389,599.75 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 5,558,399
-1 5,558,399
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594071,9512,84913,65721,46172,187150,227505,309794,0575,558,399
-1-7-11-37-77-259-407-1,951-2,849-13,657-21,461-72,187-150,227-505,309-794,057-5,558,399

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