Q: What are the factor combinations of the number 63,058,388?

 A:
Positive:   1 x 630583882 x 315291944 x 15764597
Negative: -1 x -63058388-2 x -31529194-4 x -15764597


How do I find the factor combinations of the number 63,058,388?

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 63,058,388, 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 63,058,388
-1 -63,058,388

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 63,058,388.

Example:
1 x 63,058,388 = 63,058,388
and
-1 x -63,058,388 = 63,058,388
Notice both answers equal 63,058,388

With that explanation out of the way, let's continue. Next, we take the number 63,058,388 and divide it by 2:

63,058,388 ÷ 2 = 31,529,194

If the quotient is a whole number, then 2 and 31,529,194 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 31,529,194 63,058,388
-1 -2 -31,529,194 -63,058,388

Now, we try dividing 63,058,388 by 3:

63,058,388 ÷ 3 = 21,019,462.6667

If the quotient is a whole number, then 3 and 21,019,462.6667 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 2 31,529,194 63,058,388
-1 -2 -31,529,194 -63,058,388

Let's try dividing by 4:

63,058,388 ÷ 4 = 15,764,597

If the quotient is a whole number, then 4 and 15,764,597 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 15,764,597 31,529,194 63,058,388
-1 -2 -4 -15,764,597 -31,529,194 63,058,388
Keep dividing by the next highest number until you cannot divide anymore.

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

12415,764,59731,529,19463,058,388
-1-2-4-15,764,597-31,529,194-63,058,388

More Examples

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