Q: What are the factor combinations of the number 352,402,243?

 A:
Positive:   1 x 35240224343 x 8195401103 x 3421381251 x 1403993317 x 11116794429 x 7956710793 x 3265113631 x 25853
Negative: -1 x -352402243-43 x -8195401-103 x -3421381-251 x -1403993-317 x -1111679-4429 x -79567-10793 x -32651-13631 x -25853


How do I find the factor combinations of the number 352,402,243?

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 352,402,243, 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.

1 352,402,243
-1 -352,402,243

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 352,402,243.

Example:
1 x 352,402,243 = 352,402,243
and
-1 x -352,402,243 = 352,402,243
Notice both answers equal 352,402,243

With that explanation out of the way, let's continue. Next, we take the number 352,402,243 and divide it by 2:

352,402,243 ÷ 2 = 176,201,121.5

If the quotient is a whole number, then 2 and 176,201,121.5 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:

1 352,402,243
-1 -352,402,243

Now, we try dividing 352,402,243 by 3:

352,402,243 ÷ 3 = 117,467,414.3333

If the quotient is a whole number, then 3 and 117,467,414.3333 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:

1 352,402,243
-1 -352,402,243

Let's try dividing by 4:

352,402,243 ÷ 4 = 88,100,560.75

If the quotient is a whole number, then 4 and 88,100,560.75 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:

1 352,402,243
-1 352,402,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1431032513174,42910,79313,63125,85332,65179,5671,111,6791,403,9933,421,3818,195,401352,402,243
-1-43-103-251-317-4,429-10,793-13,631-25,853-32,651-79,567-1,111,679-1,403,993-3,421,381-8,195,401-352,402,243

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