Q: What are the factor combinations of the number 35,236,925?

 A:
Positive:   1 x 352369255 x 704738519 x 185457525 x 140947731 x 113667595 x 370915155 x 227335475 x 74183589 x 59825775 x 454672393 x 147252945 x 11965
Negative: -1 x -35236925-5 x -7047385-19 x -1854575-25 x -1409477-31 x -1136675-95 x -370915-155 x -227335-475 x -74183-589 x -59825-775 x -45467-2393 x -14725-2945 x -11965


How do I find the factor combinations of the number 35,236,925?

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 35,236,925, 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 35,236,925
-1 -35,236,925

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 35,236,925.

Example:
1 x 35,236,925 = 35,236,925
and
-1 x -35,236,925 = 35,236,925
Notice both answers equal 35,236,925

With that explanation out of the way, let's continue. Next, we take the number 35,236,925 and divide it by 2:

35,236,925 ÷ 2 = 17,618,462.5

If the quotient is a whole number, then 2 and 17,618,462.5 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 35,236,925
-1 -35,236,925

Now, we try dividing 35,236,925 by 3:

35,236,925 ÷ 3 = 11,745,641.6667

If the quotient is a whole number, then 3 and 11,745,641.6667 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 35,236,925
-1 -35,236,925

Let's try dividing by 4:

35,236,925 ÷ 4 = 8,809,231.25

If the quotient is a whole number, then 4 and 8,809,231.25 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 35,236,925
-1 35,236,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15192531951554755897752,3932,94511,96514,72545,46759,82574,183227,335370,9151,136,6751,409,4771,854,5757,047,38535,236,925
-1-5-19-25-31-95-155-475-589-775-2,393-2,945-11,965-14,725-45,467-59,825-74,183-227,335-370,915-1,136,675-1,409,477-1,854,575-7,047,385-35,236,925

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