Q: What are the factor combinations of the number 202,672,631?

 A:
Positive:   1 x 2026726317 x 2895323343 x 4713317149 x 1360219301 x 6733311043 x 1943174519 x 448496407 x 31633
Negative: -1 x -202672631-7 x -28953233-43 x -4713317-149 x -1360219-301 x -673331-1043 x -194317-4519 x -44849-6407 x -31633


How do I find the factor combinations of the number 202,672,631?

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 202,672,631, 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.

1 202,672,631
-1 -202,672,631

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 202,672,631.

Example:
1 x 202,672,631 = 202,672,631
and
-1 x -202,672,631 = 202,672,631
Notice both answers equal 202,672,631

With that explanation out of the way, let's continue. Next, we take the number 202,672,631 and divide it by 2:

202,672,631 ÷ 2 = 101,336,315.5

If the quotient is a whole number, then 2 and 101,336,315.5 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:

1 202,672,631
-1 -202,672,631

Now, we try dividing 202,672,631 by 3:

202,672,631 ÷ 3 = 67,557,543.6667

If the quotient is a whole number, then 3 and 67,557,543.6667 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:

1 202,672,631
-1 -202,672,631

Let's try dividing by 4:

202,672,631 ÷ 4 = 50,668,157.75

If the quotient is a whole number, then 4 and 50,668,157.75 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:

1 202,672,631
-1 202,672,631
Keep dividing by the next highest number until you cannot divide anymore.

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

17431493011,0434,5196,40731,63344,849194,317673,3311,360,2194,713,31728,953,233202,672,631
-1-7-43-149-301-1,043-4,519-6,407-31,633-44,849-194,317-673,331-1,360,219-4,713,317-28,953,233-202,672,631

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