Q: What are the factor combinations of the number 252,150,205?

 A:
Positive:   1 x 2521502055 x 5043004117 x 1483236541 x 615000585 x 2966473205 x 1230001697 x 3617653485 x 72353
Negative: -1 x -252150205-5 x -50430041-17 x -14832365-41 x -6150005-85 x -2966473-205 x -1230001-697 x -361765-3485 x -72353


How do I find the factor combinations of the number 252,150,205?

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 252,150,205, 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.

1 252,150,205
-1 -252,150,205

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 252,150,205.

Example:
1 x 252,150,205 = 252,150,205
and
-1 x -252,150,205 = 252,150,205
Notice both answers equal 252,150,205

With that explanation out of the way, let's continue. Next, we take the number 252,150,205 and divide it by 2:

252,150,205 ÷ 2 = 126,075,102.5

If the quotient is a whole number, then 2 and 126,075,102.5 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:

1 252,150,205
-1 -252,150,205

Now, we try dividing 252,150,205 by 3:

252,150,205 ÷ 3 = 84,050,068.3333

If the quotient is a whole number, then 3 and 84,050,068.3333 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:

1 252,150,205
-1 -252,150,205

Let's try dividing by 4:

252,150,205 ÷ 4 = 63,037,551.25

If the quotient is a whole number, then 4 and 63,037,551.25 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:

1 252,150,205
-1 252,150,205
Keep dividing by the next highest number until you cannot divide anymore.

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

151741852056973,48572,353361,7651,230,0012,966,4736,150,00514,832,36550,430,041252,150,205
-1-5-17-41-85-205-697-3,485-72,353-361,765-1,230,001-2,966,473-6,150,005-14,832,365-50,430,041-252,150,205

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