Q: What are the factor combinations of the number 350,668,687?

 A:
Positive:   1 x 35066868761 x 574866767 x 5233861239 x 1467233359 x 9767934087 x 8580114579 x 2405316013 x 21899
Negative: -1 x -350668687-61 x -5748667-67 x -5233861-239 x -1467233-359 x -976793-4087 x -85801-14579 x -24053-16013 x -21899


How do I find the factor combinations of the number 350,668,687?

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 350,668,687, 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.

1 350,668,687
-1 -350,668,687

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 350,668,687.

Example:
1 x 350,668,687 = 350,668,687
and
-1 x -350,668,687 = 350,668,687
Notice both answers equal 350,668,687

With that explanation out of the way, let's continue. Next, we take the number 350,668,687 and divide it by 2:

350,668,687 ÷ 2 = 175,334,343.5

If the quotient is a whole number, then 2 and 175,334,343.5 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:

1 350,668,687
-1 -350,668,687

Now, we try dividing 350,668,687 by 3:

350,668,687 ÷ 3 = 116,889,562.3333

If the quotient is a whole number, then 3 and 116,889,562.3333 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:

1 350,668,687
-1 -350,668,687

Let's try dividing by 4:

350,668,687 ÷ 4 = 87,667,171.75

If the quotient is a whole number, then 4 and 87,667,171.75 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:

1 350,668,687
-1 350,668,687
Keep dividing by the next highest number until you cannot divide anymore.

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

161672393594,08714,57916,01321,89924,05385,801976,7931,467,2335,233,8615,748,667350,668,687
-1-61-67-239-359-4,087-14,579-16,013-21,899-24,053-85,801-976,793-1,467,233-5,233,861-5,748,667-350,668,687

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