Q: What are the factor combinations of the number 350,125,237?

 A:
Positive:   1 x 3501252377 x 5001789111 x 3182956749 x 714541377 x 4547081121 x 2893597539 x 649583847 x 4133715929 x 59053
Negative: -1 x -350125237-7 x -50017891-11 x -31829567-49 x -7145413-77 x -4547081-121 x -2893597-539 x -649583-847 x -413371-5929 x -59053


How do I find the factor combinations of the number 350,125,237?

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 350,125,237, 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.

1 350,125,237
-1 -350,125,237

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 350,125,237.

Example:
1 x 350,125,237 = 350,125,237
and
-1 x -350,125,237 = 350,125,237
Notice both answers equal 350,125,237

With that explanation out of the way, let's continue. Next, we take the number 350,125,237 and divide it by 2:

350,125,237 ÷ 2 = 175,062,618.5

If the quotient is a whole number, then 2 and 175,062,618.5 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:

1 350,125,237
-1 -350,125,237

Now, we try dividing 350,125,237 by 3:

350,125,237 ÷ 3 = 116,708,412.3333

If the quotient is a whole number, then 3 and 116,708,412.3333 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:

1 350,125,237
-1 -350,125,237

Let's try dividing by 4:

350,125,237 ÷ 4 = 87,531,309.25

If the quotient is a whole number, then 4 and 87,531,309.25 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:

1 350,125,237
-1 350,125,237
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771215398475,92959,053413,371649,5832,893,5974,547,0817,145,41331,829,56750,017,891350,125,237
-1-7-11-49-77-121-539-847-5,929-59,053-413,371-649,583-2,893,597-4,547,081-7,145,413-31,829,567-50,017,891-350,125,237

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