Q: What are the factor combinations of the number 252,210,673?

 A:
Positive:   1 x 25221067311 x 2292824313 x 1940082171 x 3552263143 x 1763711781 x 322933923 x 27325110153 x 24841
Negative: -1 x -252210673-11 x -22928243-13 x -19400821-71 x -3552263-143 x -1763711-781 x -322933-923 x -273251-10153 x -24841


How do I find the factor combinations of the number 252,210,673?

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 252,210,673, 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.

1 252,210,673
-1 -252,210,673

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 252,210,673.

Example:
1 x 252,210,673 = 252,210,673
and
-1 x -252,210,673 = 252,210,673
Notice both answers equal 252,210,673

With that explanation out of the way, let's continue. Next, we take the number 252,210,673 and divide it by 2:

252,210,673 ÷ 2 = 126,105,336.5

If the quotient is a whole number, then 2 and 126,105,336.5 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:

1 252,210,673
-1 -252,210,673

Now, we try dividing 252,210,673 by 3:

252,210,673 ÷ 3 = 84,070,224.3333

If the quotient is a whole number, then 3 and 84,070,224.3333 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:

1 252,210,673
-1 -252,210,673

Let's try dividing by 4:

252,210,673 ÷ 4 = 63,052,668.25

If the quotient is a whole number, then 4 and 63,052,668.25 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:

1 252,210,673
-1 252,210,673
Keep dividing by the next highest number until you cannot divide anymore.

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

111137114378192310,15324,841273,251322,9331,763,7113,552,26319,400,82122,928,243252,210,673
-1-11-13-71-143-781-923-10,153-24,841-273,251-322,933-1,763,711-3,552,263-19,400,821-22,928,243-252,210,673

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