Q: What are the factor combinations of the number 524,406,443?

 A:
Positive:   1 x 52440644311 x 47673313101 x 5192143317 x 16542791111 x 4720131489 x 3521873487 x 15038916379 x 32017
Negative: -1 x -524406443-11 x -47673313-101 x -5192143-317 x -1654279-1111 x -472013-1489 x -352187-3487 x -150389-16379 x -32017


How do I find the factor combinations of the number 524,406,443?

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 524,406,443, 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.

1 524,406,443
-1 -524,406,443

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 524,406,443.

Example:
1 x 524,406,443 = 524,406,443
and
-1 x -524,406,443 = 524,406,443
Notice both answers equal 524,406,443

With that explanation out of the way, let's continue. Next, we take the number 524,406,443 and divide it by 2:

524,406,443 ÷ 2 = 262,203,221.5

If the quotient is a whole number, then 2 and 262,203,221.5 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:

1 524,406,443
-1 -524,406,443

Now, we try dividing 524,406,443 by 3:

524,406,443 ÷ 3 = 174,802,147.6667

If the quotient is a whole number, then 3 and 174,802,147.6667 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:

1 524,406,443
-1 -524,406,443

Let's try dividing by 4:

524,406,443 ÷ 4 = 131,101,610.75

If the quotient is a whole number, then 4 and 131,101,610.75 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:

1 524,406,443
-1 524,406,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1111013171,1111,4893,48716,37932,017150,389352,187472,0131,654,2795,192,14347,673,313524,406,443
-1-11-101-317-1,111-1,489-3,487-16,379-32,017-150,389-352,187-472,013-1,654,279-5,192,143-47,673,313-524,406,443

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