Q: What are the factor combinations of the number 353,200,019?

 A:
Positive:   1 x 35320001929 x 1217931131 x 1139354959 x 5986441899 x 3928811711 x 2064291829 x 1931116659 x 53041
Negative: -1 x -353200019-29 x -12179311-31 x -11393549-59 x -5986441-899 x -392881-1711 x -206429-1829 x -193111-6659 x -53041


How do I find the factor combinations of the number 353,200,019?

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 353,200,019, 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.

1 353,200,019
-1 -353,200,019

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 353,200,019.

Example:
1 x 353,200,019 = 353,200,019
and
-1 x -353,200,019 = 353,200,019
Notice both answers equal 353,200,019

With that explanation out of the way, let's continue. Next, we take the number 353,200,019 and divide it by 2:

353,200,019 ÷ 2 = 176,600,009.5

If the quotient is a whole number, then 2 and 176,600,009.5 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:

1 353,200,019
-1 -353,200,019

Now, we try dividing 353,200,019 by 3:

353,200,019 ÷ 3 = 117,733,339.6667

If the quotient is a whole number, then 3 and 117,733,339.6667 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:

1 353,200,019
-1 -353,200,019

Let's try dividing by 4:

353,200,019 ÷ 4 = 88,300,004.75

If the quotient is a whole number, then 4 and 88,300,004.75 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:

1 353,200,019
-1 353,200,019
Keep dividing by the next highest number until you cannot divide anymore.

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

12931598991,7111,8296,65953,041193,111206,429392,8815,986,44111,393,54912,179,311353,200,019
-1-29-31-59-899-1,711-1,829-6,659-53,041-193,111-206,429-392,881-5,986,441-11,393,549-12,179,311-353,200,019

More Examples

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