Q: What are the factor combinations of the number 315,033,036?

 A:
Positive:   1 x 3150330362 x 1575165183 x 1050110124 x 787582596 x 5250550612 x 2625275331 x 1016235661 x 516447662 x 508117893 x 3387452122 x 2582238124 x 2540589183 x 1721492186 x 1693726244 x 1291119366 x 860746372 x 846863732 x 4303731891 x 1665963782 x 832985673 x 555327564 x 4164911346 x 2776613883 x 22692
Negative: -1 x -315033036-2 x -157516518-3 x -105011012-4 x -78758259-6 x -52505506-12 x -26252753-31 x -10162356-61 x -5164476-62 x -5081178-93 x -3387452-122 x -2582238-124 x -2540589-183 x -1721492-186 x -1693726-244 x -1291119-366 x -860746-372 x -846863-732 x -430373-1891 x -166596-3782 x -83298-5673 x -55532-7564 x -41649-11346 x -27766-13883 x -22692


How do I find the factor combinations of the number 315,033,036?

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 315,033,036, 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.

1 315,033,036
-1 -315,033,036

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 315,033,036.

Example:
1 x 315,033,036 = 315,033,036
and
-1 x -315,033,036 = 315,033,036
Notice both answers equal 315,033,036

With that explanation out of the way, let's continue. Next, we take the number 315,033,036 and divide it by 2:

315,033,036 ÷ 2 = 157,516,518

If the quotient is a whole number, then 2 and 157,516,518 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 157,516,518 315,033,036
-1 -2 -157,516,518 -315,033,036

Now, we try dividing 315,033,036 by 3:

315,033,036 ÷ 3 = 105,011,012

If the quotient is a whole number, then 3 and 105,011,012 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 105,011,012 157,516,518 315,033,036
-1 -2 -3 -105,011,012 -157,516,518 -315,033,036

Let's try dividing by 4:

315,033,036 ÷ 4 = 78,758,259

If the quotient is a whole number, then 4 and 78,758,259 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 78,758,259 105,011,012 157,516,518 315,033,036
-1 -2 -3 -4 -78,758,259 -105,011,012 -157,516,518 315,033,036
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612316162931221241831862443663727321,8913,7825,6737,56411,34613,88322,69227,76641,64955,53283,298166,596430,373846,863860,7461,291,1191,693,7261,721,4922,540,5892,582,2383,387,4525,081,1785,164,47610,162,35626,252,75352,505,50678,758,259105,011,012157,516,518315,033,036
-1-2-3-4-6-12-31-61-62-93-122-124-183-186-244-366-372-732-1,891-3,782-5,673-7,564-11,346-13,883-22,692-27,766-41,649-55,532-83,298-166,596-430,373-846,863-860,746-1,291,119-1,693,726-1,721,492-2,540,589-2,582,238-3,387,452-5,081,178-5,164,476-10,162,356-26,252,753-52,505,506-78,758,259-105,011,012-157,516,518-315,033,036

More Examples

Here are some more numbers to try:

315,033,034315,033,035315,033,037315,033,038
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