Q: What are the factor combinations of the number 364,737,275?

 A:
Positive:   1 x 3647372755 x 729474557 x 5210532525 x 1458949135 x 1042106583 x 4394425175 x 2084213415 x 878885581 x 6277752075 x 1757772905 x 12555514525 x 25111
Negative: -1 x -364737275-5 x -72947455-7 x -52105325-25 x -14589491-35 x -10421065-83 x -4394425-175 x -2084213-415 x -878885-581 x -627775-2075 x -175777-2905 x -125555-14525 x -25111


How do I find the factor combinations of the number 364,737,275?

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 364,737,275, 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.

1 364,737,275
-1 -364,737,275

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 364,737,275.

Example:
1 x 364,737,275 = 364,737,275
and
-1 x -364,737,275 = 364,737,275
Notice both answers equal 364,737,275

With that explanation out of the way, let's continue. Next, we take the number 364,737,275 and divide it by 2:

364,737,275 ÷ 2 = 182,368,637.5

If the quotient is a whole number, then 2 and 182,368,637.5 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:

1 364,737,275
-1 -364,737,275

Now, we try dividing 364,737,275 by 3:

364,737,275 ÷ 3 = 121,579,091.6667

If the quotient is a whole number, then 3 and 121,579,091.6667 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:

1 364,737,275
-1 -364,737,275

Let's try dividing by 4:

364,737,275 ÷ 4 = 91,184,318.75

If the quotient is a whole number, then 4 and 91,184,318.75 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:

1 364,737,275
-1 364,737,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535831754155812,0752,90514,52525,111125,555175,777627,775878,8852,084,2134,394,42510,421,06514,589,49152,105,32572,947,455364,737,275
-1-5-7-25-35-83-175-415-581-2,075-2,905-14,525-25,111-125,555-175,777-627,775-878,885-2,084,213-4,394,425-10,421,065-14,589,491-52,105,325-72,947,455-364,737,275

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