Q: What are the factor combinations of the number 522,140,635?

 A:
Positive:   1 x 5221406355 x 10442812717 x 3071415585 x 6142831151 x 3457885289 x 1806715755 x 6915771445 x 3613432393 x 2181952567 x 20340511965 x 4363912835 x 40681
Negative: -1 x -522140635-5 x -104428127-17 x -30714155-85 x -6142831-151 x -3457885-289 x -1806715-755 x -691577-1445 x -361343-2393 x -218195-2567 x -203405-11965 x -43639-12835 x -40681


How do I find the factor combinations of the number 522,140,635?

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 522,140,635, 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.

1 522,140,635
-1 -522,140,635

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 522,140,635.

Example:
1 x 522,140,635 = 522,140,635
and
-1 x -522,140,635 = 522,140,635
Notice both answers equal 522,140,635

With that explanation out of the way, let's continue. Next, we take the number 522,140,635 and divide it by 2:

522,140,635 ÷ 2 = 261,070,317.5

If the quotient is a whole number, then 2 and 261,070,317.5 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:

1 522,140,635
-1 -522,140,635

Now, we try dividing 522,140,635 by 3:

522,140,635 ÷ 3 = 174,046,878.3333

If the quotient is a whole number, then 3 and 174,046,878.3333 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:

1 522,140,635
-1 -522,140,635

Let's try dividing by 4:

522,140,635 ÷ 4 = 130,535,158.75

If the quotient is a whole number, then 4 and 130,535,158.75 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:

1 522,140,635
-1 522,140,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851512897551,4452,3932,56711,96512,83540,68143,639203,405218,195361,343691,5771,806,7153,457,8856,142,83130,714,155104,428,127522,140,635
-1-5-17-85-151-289-755-1,445-2,393-2,567-11,965-12,835-40,681-43,639-203,405-218,195-361,343-691,577-1,806,715-3,457,885-6,142,831-30,714,155-104,428,127-522,140,635

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