Q: What are the factor combinations of the number 55,597,667?

 A:
Positive:   1 x 5559766717 x 327045119 x 292619343 x 1292969323 x 172129731 x 76057817 x 680514003 x 13889
Negative: -1 x -55597667-17 x -3270451-19 x -2926193-43 x -1292969-323 x -172129-731 x -76057-817 x -68051-4003 x -13889


How do I find the factor combinations of the number 55,597,667?

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 55,597,667, 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 55,597,667
-1 -55,597,667

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 55,597,667.

Example:
1 x 55,597,667 = 55,597,667
and
-1 x -55,597,667 = 55,597,667
Notice both answers equal 55,597,667

With that explanation out of the way, let's continue. Next, we take the number 55,597,667 and divide it by 2:

55,597,667 ÷ 2 = 27,798,833.5

If the quotient is a whole number, then 2 and 27,798,833.5 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 55,597,667
-1 -55,597,667

Now, we try dividing 55,597,667 by 3:

55,597,667 ÷ 3 = 18,532,555.6667

If the quotient is a whole number, then 3 and 18,532,555.6667 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 55,597,667
-1 -55,597,667

Let's try dividing by 4:

55,597,667 ÷ 4 = 13,899,416.75

If the quotient is a whole number, then 4 and 13,899,416.75 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 55,597,667
-1 55,597,667
Keep dividing by the next highest number until you cannot divide anymore.

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

11719433237318174,00313,88968,05176,057172,1291,292,9692,926,1933,270,45155,597,667
-1-17-19-43-323-731-817-4,003-13,889-68,051-76,057-172,129-1,292,969-2,926,193-3,270,451-55,597,667

More Examples

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