Q: What are the factor combinations of the number 55,466,359?

 A:
Positive:   1 x 5546635913 x 426664317 x 3262727221 x 250979
Negative: -1 x -55466359-13 x -4266643-17 x -3262727-221 x -250979


How do I find the factor combinations of the number 55,466,359?

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 55,466,359, 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 55,466,359
-1 -55,466,359

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 55,466,359.

Example:
1 x 55,466,359 = 55,466,359
and
-1 x -55,466,359 = 55,466,359
Notice both answers equal 55,466,359

With that explanation out of the way, let's continue. Next, we take the number 55,466,359 and divide it by 2:

55,466,359 ÷ 2 = 27,733,179.5

If the quotient is a whole number, then 2 and 27,733,179.5 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 55,466,359
-1 -55,466,359

Now, we try dividing 55,466,359 by 3:

55,466,359 ÷ 3 = 18,488,786.3333

If the quotient is a whole number, then 3 and 18,488,786.3333 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 55,466,359
-1 -55,466,359

Let's try dividing by 4:

55,466,359 ÷ 4 = 13,866,589.75

If the quotient is a whole number, then 4 and 13,866,589.75 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 55,466,359
-1 55,466,359
Keep dividing by the next highest number until you cannot divide anymore.

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

11317221250,9793,262,7274,266,64355,466,359
-1-13-17-221-250,979-3,262,727-4,266,643-55,466,359

More Examples

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