Q: What are the factor combinations of the number 350,132,515?

 A:
Positive:   1 x 3501325155 x 7002650329 x 12073535145 x 2414707563 x 6219052815 x 1243814289 x 8163516327 x 21445
Negative: -1 x -350132515-5 x -70026503-29 x -12073535-145 x -2414707-563 x -621905-2815 x -124381-4289 x -81635-16327 x -21445


How do I find the factor combinations of the number 350,132,515?

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 350,132,515, 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.

1 350,132,515
-1 -350,132,515

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 350,132,515.

Example:
1 x 350,132,515 = 350,132,515
and
-1 x -350,132,515 = 350,132,515
Notice both answers equal 350,132,515

With that explanation out of the way, let's continue. Next, we take the number 350,132,515 and divide it by 2:

350,132,515 ÷ 2 = 175,066,257.5

If the quotient is a whole number, then 2 and 175,066,257.5 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:

1 350,132,515
-1 -350,132,515

Now, we try dividing 350,132,515 by 3:

350,132,515 ÷ 3 = 116,710,838.3333

If the quotient is a whole number, then 3 and 116,710,838.3333 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:

1 350,132,515
-1 -350,132,515

Let's try dividing by 4:

350,132,515 ÷ 4 = 87,533,128.75

If the quotient is a whole number, then 4 and 87,533,128.75 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:

1 350,132,515
-1 350,132,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15291455632,8154,28916,32721,44581,635124,381621,9052,414,70712,073,53570,026,503350,132,515
-1-5-29-145-563-2,815-4,289-16,327-21,445-81,635-124,381-621,905-2,414,707-12,073,535-70,026,503-350,132,515

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