Q: What are the factor combinations of the number 317,623,355?

 A:
Positive:   1 x 3176233555 x 635246717 x 4537476535 x 907495337 x 8584415185 x 1716883259 x 12263451295 x 245269
Negative: -1 x -317623355-5 x -63524671-7 x -45374765-35 x -9074953-37 x -8584415-185 x -1716883-259 x -1226345-1295 x -245269


How do I find the factor combinations of the number 317,623,355?

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 317,623,355, 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.

1 317,623,355
-1 -317,623,355

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 317,623,355.

Example:
1 x 317,623,355 = 317,623,355
and
-1 x -317,623,355 = 317,623,355
Notice both answers equal 317,623,355

With that explanation out of the way, let's continue. Next, we take the number 317,623,355 and divide it by 2:

317,623,355 ÷ 2 = 158,811,677.5

If the quotient is a whole number, then 2 and 158,811,677.5 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:

1 317,623,355
-1 -317,623,355

Now, we try dividing 317,623,355 by 3:

317,623,355 ÷ 3 = 105,874,451.6667

If the quotient is a whole number, then 3 and 105,874,451.6667 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:

1 317,623,355
-1 -317,623,355

Let's try dividing by 4:

317,623,355 ÷ 4 = 79,405,838.75

If the quotient is a whole number, then 4 and 79,405,838.75 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:

1 317,623,355
-1 317,623,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,295245,2691,226,3451,716,8838,584,4159,074,95345,374,76563,524,671317,623,355
-1-5-7-35-37-185-259-1,295-245,269-1,226,345-1,716,883-8,584,415-9,074,953-45,374,765-63,524,671-317,623,355

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