Q: What are the factor combinations of the number 353,220,439?

 A:
Positive:   1 x 35322043911 x 3211094913 x 2717080361 x 5790499143 x 2470073671 x 526409793 x 4454238723 x 40493
Negative: -1 x -353220439-11 x -32110949-13 x -27170803-61 x -5790499-143 x -2470073-671 x -526409-793 x -445423-8723 x -40493


How do I find the factor combinations of the number 353,220,439?

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 353,220,439, 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.

1 353,220,439
-1 -353,220,439

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 353,220,439.

Example:
1 x 353,220,439 = 353,220,439
and
-1 x -353,220,439 = 353,220,439
Notice both answers equal 353,220,439

With that explanation out of the way, let's continue. Next, we take the number 353,220,439 and divide it by 2:

353,220,439 ÷ 2 = 176,610,219.5

If the quotient is a whole number, then 2 and 176,610,219.5 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:

1 353,220,439
-1 -353,220,439

Now, we try dividing 353,220,439 by 3:

353,220,439 ÷ 3 = 117,740,146.3333

If the quotient is a whole number, then 3 and 117,740,146.3333 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:

1 353,220,439
-1 -353,220,439

Let's try dividing by 4:

353,220,439 ÷ 4 = 88,305,109.75

If the quotient is a whole number, then 4 and 88,305,109.75 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:

1 353,220,439
-1 353,220,439
Keep dividing by the next highest number until you cannot divide anymore.

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

11113611436717938,72340,493445,423526,4092,470,0735,790,49927,170,80332,110,949353,220,439
-1-11-13-61-143-671-793-8,723-40,493-445,423-526,409-2,470,073-5,790,499-27,170,803-32,110,949-353,220,439

More Examples

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