Q: What are the factor combinations of the number 350,083,645?

 A:
Positive:   1 x 3500836455 x 7001672919 x 1842545595 x 3685091349 x 10031051745 x 2006216631 x 5279510559 x 33155
Negative: -1 x -350083645-5 x -70016729-19 x -18425455-95 x -3685091-349 x -1003105-1745 x -200621-6631 x -52795-10559 x -33155


How do I find the factor combinations of the number 350,083,645?

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 350,083,645, 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.

1 350,083,645
-1 -350,083,645

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 350,083,645.

Example:
1 x 350,083,645 = 350,083,645
and
-1 x -350,083,645 = 350,083,645
Notice both answers equal 350,083,645

With that explanation out of the way, let's continue. Next, we take the number 350,083,645 and divide it by 2:

350,083,645 ÷ 2 = 175,041,822.5

If the quotient is a whole number, then 2 and 175,041,822.5 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:

1 350,083,645
-1 -350,083,645

Now, we try dividing 350,083,645 by 3:

350,083,645 ÷ 3 = 116,694,548.3333

If the quotient is a whole number, then 3 and 116,694,548.3333 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:

1 350,083,645
-1 -350,083,645

Let's try dividing by 4:

350,083,645 ÷ 4 = 87,520,911.25

If the quotient is a whole number, then 4 and 87,520,911.25 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:

1 350,083,645
-1 350,083,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1519953491,7456,63110,55933,15552,795200,6211,003,1053,685,09118,425,45570,016,729350,083,645
-1-5-19-95-349-1,745-6,631-10,559-33,155-52,795-200,621-1,003,105-3,685,091-18,425,455-70,016,729-350,083,645

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