Q: What are the factor combinations of the number 365,031,325?

 A:
Positive:   1 x 3650313255 x 7300626519 x 1921217525 x 1460125395 x 3842435461 x 791825475 x 7684871667 x 2189752305 x 1583658335 x 437958759 x 4167511525 x 31673
Negative: -1 x -365031325-5 x -73006265-19 x -19212175-25 x -14601253-95 x -3842435-461 x -791825-475 x -768487-1667 x -218975-2305 x -158365-8335 x -43795-8759 x -41675-11525 x -31673


How do I find the factor combinations of the number 365,031,325?

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 365,031,325, 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.

1 365,031,325
-1 -365,031,325

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 365,031,325.

Example:
1 x 365,031,325 = 365,031,325
and
-1 x -365,031,325 = 365,031,325
Notice both answers equal 365,031,325

With that explanation out of the way, let's continue. Next, we take the number 365,031,325 and divide it by 2:

365,031,325 ÷ 2 = 182,515,662.5

If the quotient is a whole number, then 2 and 182,515,662.5 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:

1 365,031,325
-1 -365,031,325

Now, we try dividing 365,031,325 by 3:

365,031,325 ÷ 3 = 121,677,108.3333

If the quotient is a whole number, then 3 and 121,677,108.3333 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:

1 365,031,325
-1 -365,031,325

Let's try dividing by 4:

365,031,325 ÷ 4 = 91,257,831.25

If the quotient is a whole number, then 4 and 91,257,831.25 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:

1 365,031,325
-1 365,031,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151925954614751,6672,3058,3358,75911,52531,67341,67543,795158,365218,975768,487791,8253,842,43514,601,25319,212,17573,006,265365,031,325
-1-5-19-25-95-461-475-1,667-2,305-8,335-8,759-11,525-31,673-41,675-43,795-158,365-218,975-768,487-791,825-3,842,435-14,601,253-19,212,175-73,006,265-365,031,325

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