Q: What are the factor combinations of the number 502,250,005?

 A:
Positive:   1 x 5022500055 x 10045000179 x 6357595283 x 1774735395 x 12715191415 x 3549474493 x 11178522357 x 22465
Negative: -1 x -502250005-5 x -100450001-79 x -6357595-283 x -1774735-395 x -1271519-1415 x -354947-4493 x -111785-22357 x -22465


How do I find the factor combinations of the number 502,250,005?

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 502,250,005, 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.

1 502,250,005
-1 -502,250,005

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 502,250,005.

Example:
1 x 502,250,005 = 502,250,005
and
-1 x -502,250,005 = 502,250,005
Notice both answers equal 502,250,005

With that explanation out of the way, let's continue. Next, we take the number 502,250,005 and divide it by 2:

502,250,005 ÷ 2 = 251,125,002.5

If the quotient is a whole number, then 2 and 251,125,002.5 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:

1 502,250,005
-1 -502,250,005

Now, we try dividing 502,250,005 by 3:

502,250,005 ÷ 3 = 167,416,668.3333

If the quotient is a whole number, then 3 and 167,416,668.3333 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:

1 502,250,005
-1 -502,250,005

Let's try dividing by 4:

502,250,005 ÷ 4 = 125,562,501.25

If the quotient is a whole number, then 4 and 125,562,501.25 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:

1 502,250,005
-1 502,250,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15792833951,4154,49322,35722,465111,785354,9471,271,5191,774,7356,357,595100,450,001502,250,005
-1-5-79-283-395-1,415-4,493-22,357-22,465-111,785-354,947-1,271,519-1,774,735-6,357,595-100,450,001-502,250,005

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