Q: What are the factor combinations of the number 310,110,325?

 A:
Positive:   1 x 3101103255 x 620220657 x 4430147525 x 1240441335 x 8860295157 x 1975225175 x 1772059785 x 3950451099 x 2821753925 x 790095495 x 5643511287 x 27475
Negative: -1 x -310110325-5 x -62022065-7 x -44301475-25 x -12404413-35 x -8860295-157 x -1975225-175 x -1772059-785 x -395045-1099 x -282175-3925 x -79009-5495 x -56435-11287 x -27475


How do I find the factor combinations of the number 310,110,325?

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 310,110,325, 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.

1 310,110,325
-1 -310,110,325

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 310,110,325.

Example:
1 x 310,110,325 = 310,110,325
and
-1 x -310,110,325 = 310,110,325
Notice both answers equal 310,110,325

With that explanation out of the way, let's continue. Next, we take the number 310,110,325 and divide it by 2:

310,110,325 ÷ 2 = 155,055,162.5

If the quotient is a whole number, then 2 and 155,055,162.5 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:

1 310,110,325
-1 -310,110,325

Now, we try dividing 310,110,325 by 3:

310,110,325 ÷ 3 = 103,370,108.3333

If the quotient is a whole number, then 3 and 103,370,108.3333 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:

1 310,110,325
-1 -310,110,325

Let's try dividing by 4:

310,110,325 ÷ 4 = 77,527,581.25

If the quotient is a whole number, then 4 and 77,527,581.25 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:

1 310,110,325
-1 310,110,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351571757851,0993,9255,49511,28727,47556,43579,009282,175395,0451,772,0591,975,2258,860,29512,404,41344,301,47562,022,065310,110,325
-1-5-7-25-35-157-175-785-1,099-3,925-5,495-11,287-27,475-56,435-79,009-282,175-395,045-1,772,059-1,975,225-8,860,295-12,404,413-44,301,475-62,022,065-310,110,325

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