Q: What are the factor combinations of the number 531,734,621?

 A:
Positive:   1 x 53173462111 x 4833951161 x 8716961121 x 4394501671 x 7924511181 x 4502413721 x 1429017381 x 7204112991 x 40931
Negative: -1 x -531734621-11 x -48339511-61 x -8716961-121 x -4394501-671 x -792451-1181 x -450241-3721 x -142901-7381 x -72041-12991 x -40931


How do I find the factor combinations of the number 531,734,621?

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 531,734,621, 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.

1 531,734,621
-1 -531,734,621

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 531,734,621.

Example:
1 x 531,734,621 = 531,734,621
and
-1 x -531,734,621 = 531,734,621
Notice both answers equal 531,734,621

With that explanation out of the way, let's continue. Next, we take the number 531,734,621 and divide it by 2:

531,734,621 ÷ 2 = 265,867,310.5

If the quotient is a whole number, then 2 and 265,867,310.5 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:

1 531,734,621
-1 -531,734,621

Now, we try dividing 531,734,621 by 3:

531,734,621 ÷ 3 = 177,244,873.6667

If the quotient is a whole number, then 3 and 177,244,873.6667 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:

1 531,734,621
-1 -531,734,621

Let's try dividing by 4:

531,734,621 ÷ 4 = 132,933,655.25

If the quotient is a whole number, then 4 and 132,933,655.25 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:

1 531,734,621
-1 531,734,621
Keep dividing by the next highest number until you cannot divide anymore.

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

111611216711,1813,7217,38112,99140,93172,041142,901450,241792,4514,394,5018,716,96148,339,511531,734,621
-1-11-61-121-671-1,181-3,721-7,381-12,991-40,931-72,041-142,901-450,241-792,451-4,394,501-8,716,961-48,339,511-531,734,621

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