Q: What are the factor combinations of the number 316,426,375?

 A:
Positive:   1 x 3164263755 x 6328527525 x 12657055125 x 2531411271 x 11676251355 x 2335256775 x 467059341 x 33875
Negative: -1 x -316426375-5 x -63285275-25 x -12657055-125 x -2531411-271 x -1167625-1355 x -233525-6775 x -46705-9341 x -33875


How do I find the factor combinations of the number 316,426,375?

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 316,426,375, 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.

1 316,426,375
-1 -316,426,375

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 316,426,375.

Example:
1 x 316,426,375 = 316,426,375
and
-1 x -316,426,375 = 316,426,375
Notice both answers equal 316,426,375

With that explanation out of the way, let's continue. Next, we take the number 316,426,375 and divide it by 2:

316,426,375 ÷ 2 = 158,213,187.5

If the quotient is a whole number, then 2 and 158,213,187.5 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:

1 316,426,375
-1 -316,426,375

Now, we try dividing 316,426,375 by 3:

316,426,375 ÷ 3 = 105,475,458.3333

If the quotient is a whole number, then 3 and 105,475,458.3333 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:

1 316,426,375
-1 -316,426,375

Let's try dividing by 4:

316,426,375 ÷ 4 = 79,106,593.75

If the quotient is a whole number, then 4 and 79,106,593.75 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:

1 316,426,375
-1 316,426,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252711,3556,7759,34133,87546,705233,5251,167,6252,531,41112,657,05563,285,275316,426,375
-1-5-25-125-271-1,355-6,775-9,341-33,875-46,705-233,525-1,167,625-2,531,411-12,657,055-63,285,275-316,426,375

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