Q: What are the factor combinations of the number 55,235,423?

 A:
Positive:   1 x 55235423109 x 506747313 x 1764711619 x 34117
Negative: -1 x -55235423-109 x -506747-313 x -176471-1619 x -34117


How do I find the factor combinations of the number 55,235,423?

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 55,235,423, 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 55,235,423
-1 -55,235,423

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 55,235,423.

Example:
1 x 55,235,423 = 55,235,423
and
-1 x -55,235,423 = 55,235,423
Notice both answers equal 55,235,423

With that explanation out of the way, let's continue. Next, we take the number 55,235,423 and divide it by 2:

55,235,423 ÷ 2 = 27,617,711.5

If the quotient is a whole number, then 2 and 27,617,711.5 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 55,235,423
-1 -55,235,423

Now, we try dividing 55,235,423 by 3:

55,235,423 ÷ 3 = 18,411,807.6667

If the quotient is a whole number, then 3 and 18,411,807.6667 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 55,235,423
-1 -55,235,423

Let's try dividing by 4:

55,235,423 ÷ 4 = 13,808,855.75

If the quotient is a whole number, then 4 and 13,808,855.75 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 55,235,423
-1 55,235,423
Keep dividing by the next highest number until you cannot divide anymore.

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

11093131,61934,117176,471506,74755,235,423
-1-109-313-1,619-34,117-176,471-506,747-55,235,423

More Examples

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