Q: What are the factor combinations of the number 234,423,403?

 A:
Positive:   1 x 234423403311 x 753773
Negative: -1 x -234423403-311 x -753773


How do I find the factor combinations of the number 234,423,403?

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 234,423,403, 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.

1 234,423,403
-1 -234,423,403

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 234,423,403.

Example:
1 x 234,423,403 = 234,423,403
and
-1 x -234,423,403 = 234,423,403
Notice both answers equal 234,423,403

With that explanation out of the way, let's continue. Next, we take the number 234,423,403 and divide it by 2:

234,423,403 ÷ 2 = 117,211,701.5

If the quotient is a whole number, then 2 and 117,211,701.5 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:

1 234,423,403
-1 -234,423,403

Now, we try dividing 234,423,403 by 3:

234,423,403 ÷ 3 = 78,141,134.3333

If the quotient is a whole number, then 3 and 78,141,134.3333 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:

1 234,423,403
-1 -234,423,403

Let's try dividing by 4:

234,423,403 ÷ 4 = 58,605,850.75

If the quotient is a whole number, then 4 and 58,605,850.75 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:

1 234,423,403
-1 234,423,403
Keep dividing by the next highest number until you cannot divide anymore.

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

1311753,773234,423,403
-1-311-753,773-234,423,403

More Examples

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