Q: What are the factor combinations of the number 524,014,045?

 A:
Positive:   1 x 5240140455 x 10480280947 x 11149235103 x 5087515235 x 2229847515 x 10175034841 x 10824521649 x 24205
Negative: -1 x -524014045-5 x -104802809-47 x -11149235-103 x -5087515-235 x -2229847-515 x -1017503-4841 x -108245-21649 x -24205


How do I find the factor combinations of the number 524,014,045?

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 524,014,045, 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.

1 524,014,045
-1 -524,014,045

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 524,014,045.

Example:
1 x 524,014,045 = 524,014,045
and
-1 x -524,014,045 = 524,014,045
Notice both answers equal 524,014,045

With that explanation out of the way, let's continue. Next, we take the number 524,014,045 and divide it by 2:

524,014,045 ÷ 2 = 262,007,022.5

If the quotient is a whole number, then 2 and 262,007,022.5 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:

1 524,014,045
-1 -524,014,045

Now, we try dividing 524,014,045 by 3:

524,014,045 ÷ 3 = 174,671,348.3333

If the quotient is a whole number, then 3 and 174,671,348.3333 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:

1 524,014,045
-1 -524,014,045

Let's try dividing by 4:

524,014,045 ÷ 4 = 131,003,511.25

If the quotient is a whole number, then 4 and 131,003,511.25 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:

1 524,014,045
-1 524,014,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15471032355154,84121,64924,205108,2451,017,5032,229,8475,087,51511,149,235104,802,809524,014,045
-1-5-47-103-235-515-4,841-21,649-24,205-108,245-1,017,503-2,229,847-5,087,515-11,149,235-104,802,809-524,014,045

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