Q: What are the factor combinations of the number 63,432,293?

 A:
Positive:   1 x 6343229331 x 2046203
Negative: -1 x -63432293-31 x -2046203


How do I find the factor combinations of the number 63,432,293?

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 63,432,293, 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 63,432,293
-1 -63,432,293

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 63,432,293.

Example:
1 x 63,432,293 = 63,432,293
and
-1 x -63,432,293 = 63,432,293
Notice both answers equal 63,432,293

With that explanation out of the way, let's continue. Next, we take the number 63,432,293 and divide it by 2:

63,432,293 ÷ 2 = 31,716,146.5

If the quotient is a whole number, then 2 and 31,716,146.5 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 63,432,293
-1 -63,432,293

Now, we try dividing 63,432,293 by 3:

63,432,293 ÷ 3 = 21,144,097.6667

If the quotient is a whole number, then 3 and 21,144,097.6667 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 63,432,293
-1 -63,432,293

Let's try dividing by 4:

63,432,293 ÷ 4 = 15,858,073.25

If the quotient is a whole number, then 4 and 15,858,073.25 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 63,432,293
-1 63,432,293
Keep dividing by the next highest number until you cannot divide anymore.

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

1312,046,20363,432,293
-1-31-2,046,203-63,432,293

More Examples

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