Q: What are the factor combinations of the number 531,344,045?

 A:
Positive:   1 x 5313440455 x 10626880923 x 23101915115 x 4620383887 x 5990354435 x 1198075209 x 10200520401 x 26045
Negative: -1 x -531344045-5 x -106268809-23 x -23101915-115 x -4620383-887 x -599035-4435 x -119807-5209 x -102005-20401 x -26045


How do I find the factor combinations of the number 531,344,045?

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 531,344,045, 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.

1 531,344,045
-1 -531,344,045

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 531,344,045.

Example:
1 x 531,344,045 = 531,344,045
and
-1 x -531,344,045 = 531,344,045
Notice both answers equal 531,344,045

With that explanation out of the way, let's continue. Next, we take the number 531,344,045 and divide it by 2:

531,344,045 ÷ 2 = 265,672,022.5

If the quotient is a whole number, then 2 and 265,672,022.5 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:

1 531,344,045
-1 -531,344,045

Now, we try dividing 531,344,045 by 3:

531,344,045 ÷ 3 = 177,114,681.6667

If the quotient is a whole number, then 3 and 177,114,681.6667 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:

1 531,344,045
-1 -531,344,045

Let's try dividing by 4:

531,344,045 ÷ 4 = 132,836,011.25

If the quotient is a whole number, then 4 and 132,836,011.25 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:

1 531,344,045
-1 531,344,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158874,4355,20920,40126,045102,005119,807599,0354,620,38323,101,915106,268,809531,344,045
-1-5-23-115-887-4,435-5,209-20,401-26,045-102,005-119,807-599,035-4,620,383-23,101,915-106,268,809-531,344,045

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