Q: What are the factor combinations of the number 416,220,427?

 A:
Positive:   1 x 4162204277 x 5946006179 x 5268613553 x 752659743 x 5601891013 x 4108795201 x 800277091 x 58697
Negative: -1 x -416220427-7 x -59460061-79 x -5268613-553 x -752659-743 x -560189-1013 x -410879-5201 x -80027-7091 x -58697


How do I find the factor combinations of the number 416,220,427?

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 416,220,427, 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.

1 416,220,427
-1 -416,220,427

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 416,220,427.

Example:
1 x 416,220,427 = 416,220,427
and
-1 x -416,220,427 = 416,220,427
Notice both answers equal 416,220,427

With that explanation out of the way, let's continue. Next, we take the number 416,220,427 and divide it by 2:

416,220,427 ÷ 2 = 208,110,213.5

If the quotient is a whole number, then 2 and 208,110,213.5 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:

1 416,220,427
-1 -416,220,427

Now, we try dividing 416,220,427 by 3:

416,220,427 ÷ 3 = 138,740,142.3333

If the quotient is a whole number, then 3 and 138,740,142.3333 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:

1 416,220,427
-1 -416,220,427

Let's try dividing by 4:

416,220,427 ÷ 4 = 104,055,106.75

If the quotient is a whole number, then 4 and 104,055,106.75 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:

1 416,220,427
-1 416,220,427
Keep dividing by the next highest number until you cannot divide anymore.

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

17795537431,0135,2017,09158,69780,027410,879560,189752,6595,268,61359,460,061416,220,427
-1-7-79-553-743-1,013-5,201-7,091-58,697-80,027-410,879-560,189-752,659-5,268,613-59,460,061-416,220,427

More Examples

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