Q: What are the factor combinations of the number 351,002,365?

 A:
Positive:   1 x 3510023655 x 702004737 x 5014319535 x 100286391279 x 2744356395 x 548877841 x 447658953 x 39205
Negative: -1 x -351002365-5 x -70200473-7 x -50143195-35 x -10028639-1279 x -274435-6395 x -54887-7841 x -44765-8953 x -39205


How do I find the factor combinations of the number 351,002,365?

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 351,002,365, 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.

1 351,002,365
-1 -351,002,365

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 351,002,365.

Example:
1 x 351,002,365 = 351,002,365
and
-1 x -351,002,365 = 351,002,365
Notice both answers equal 351,002,365

With that explanation out of the way, let's continue. Next, we take the number 351,002,365 and divide it by 2:

351,002,365 ÷ 2 = 175,501,182.5

If the quotient is a whole number, then 2 and 175,501,182.5 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:

1 351,002,365
-1 -351,002,365

Now, we try dividing 351,002,365 by 3:

351,002,365 ÷ 3 = 117,000,788.3333

If the quotient is a whole number, then 3 and 117,000,788.3333 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:

1 351,002,365
-1 -351,002,365

Let's try dividing by 4:

351,002,365 ÷ 4 = 87,750,591.25

If the quotient is a whole number, then 4 and 87,750,591.25 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:

1 351,002,365
-1 351,002,365
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,2796,3957,8418,95339,20544,76554,887274,43510,028,63950,143,19570,200,473351,002,365
-1-5-7-35-1,279-6,395-7,841-8,953-39,205-44,765-54,887-274,435-10,028,639-50,143,195-70,200,473-351,002,365

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