Q: What are the factor combinations of the number 63,181,379?

 A:
Positive:   1 x 6318137931 x 20381091033 x 611631973 x 32023
Negative: -1 x -63181379-31 x -2038109-1033 x -61163-1973 x -32023


How do I find the factor combinations of the number 63,181,379?

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 63,181,379, 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 63,181,379
-1 -63,181,379

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 63,181,379.

Example:
1 x 63,181,379 = 63,181,379
and
-1 x -63,181,379 = 63,181,379
Notice both answers equal 63,181,379

With that explanation out of the way, let's continue. Next, we take the number 63,181,379 and divide it by 2:

63,181,379 ÷ 2 = 31,590,689.5

If the quotient is a whole number, then 2 and 31,590,689.5 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 63,181,379
-1 -63,181,379

Now, we try dividing 63,181,379 by 3:

63,181,379 ÷ 3 = 21,060,459.6667

If the quotient is a whole number, then 3 and 21,060,459.6667 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 63,181,379
-1 -63,181,379

Let's try dividing by 4:

63,181,379 ÷ 4 = 15,795,344.75

If the quotient is a whole number, then 4 and 15,795,344.75 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 63,181,379
-1 63,181,379
Keep dividing by the next highest number until you cannot divide anymore.

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

1311,0331,97332,02361,1632,038,10963,181,379
-1-31-1,033-1,973-32,023-61,163-2,038,109-63,181,379

More Examples

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