Q: What are the factor combinations of the number 350,610,005?

 A:
Positive:   1 x 3506100055 x 7012200161 x 5747705305 x 1149541997 x 3516651153 x 3040854985 x 703335765 x 60817
Negative: -1 x -350610005-5 x -70122001-61 x -5747705-305 x -1149541-997 x -351665-1153 x -304085-4985 x -70333-5765 x -60817


How do I find the factor combinations of the number 350,610,005?

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 350,610,005, 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.

1 350,610,005
-1 -350,610,005

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 350,610,005.

Example:
1 x 350,610,005 = 350,610,005
and
-1 x -350,610,005 = 350,610,005
Notice both answers equal 350,610,005

With that explanation out of the way, let's continue. Next, we take the number 350,610,005 and divide it by 2:

350,610,005 ÷ 2 = 175,305,002.5

If the quotient is a whole number, then 2 and 175,305,002.5 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:

1 350,610,005
-1 -350,610,005

Now, we try dividing 350,610,005 by 3:

350,610,005 ÷ 3 = 116,870,001.6667

If the quotient is a whole number, then 3 and 116,870,001.6667 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:

1 350,610,005
-1 -350,610,005

Let's try dividing by 4:

350,610,005 ÷ 4 = 87,652,501.25

If the quotient is a whole number, then 4 and 87,652,501.25 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:

1 350,610,005
-1 350,610,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15613059971,1534,9855,76560,81770,333304,085351,6651,149,5415,747,70570,122,001350,610,005
-1-5-61-305-997-1,153-4,985-5,765-60,817-70,333-304,085-351,665-1,149,541-5,747,705-70,122,001-350,610,005

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