Q: What are the factor combinations of the number 371,335,315?

 A:
Positive:   1 x 3713353155 x 7426706313 x 2856425543 x 863570565 x 5712851215 x 1727141559 x 6642852795 x 132857
Negative: -1 x -371335315-5 x -74267063-13 x -28564255-43 x -8635705-65 x -5712851-215 x -1727141-559 x -664285-2795 x -132857


How do I find the factor combinations of the number 371,335,315?

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 371,335,315, 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.

1 371,335,315
-1 -371,335,315

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 371,335,315.

Example:
1 x 371,335,315 = 371,335,315
and
-1 x -371,335,315 = 371,335,315
Notice both answers equal 371,335,315

With that explanation out of the way, let's continue. Next, we take the number 371,335,315 and divide it by 2:

371,335,315 ÷ 2 = 185,667,657.5

If the quotient is a whole number, then 2 and 185,667,657.5 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:

1 371,335,315
-1 -371,335,315

Now, we try dividing 371,335,315 by 3:

371,335,315 ÷ 3 = 123,778,438.3333

If the quotient is a whole number, then 3 and 123,778,438.3333 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:

1 371,335,315
-1 -371,335,315

Let's try dividing by 4:

371,335,315 ÷ 4 = 92,833,828.75

If the quotient is a whole number, then 4 and 92,833,828.75 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:

1 371,335,315
-1 371,335,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151343652155592,795132,857664,2851,727,1415,712,8518,635,70528,564,25574,267,063371,335,315
-1-5-13-43-65-215-559-2,795-132,857-664,285-1,727,141-5,712,851-8,635,705-28,564,255-74,267,063-371,335,315

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