Q: What are the factor combinations of the number 35,036,885?

 A:
Positive:   1 x 350368855 x 700737713 x 269514565 x 53902997 x 361205485 x 722411261 x 277855557 x 6305
Negative: -1 x -35036885-5 x -7007377-13 x -2695145-65 x -539029-97 x -361205-485 x -72241-1261 x -27785-5557 x -6305


How do I find the factor combinations of the number 35,036,885?

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 35,036,885, 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 35,036,885
-1 -35,036,885

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 35,036,885.

Example:
1 x 35,036,885 = 35,036,885
and
-1 x -35,036,885 = 35,036,885
Notice both answers equal 35,036,885

With that explanation out of the way, let's continue. Next, we take the number 35,036,885 and divide it by 2:

35,036,885 ÷ 2 = 17,518,442.5

If the quotient is a whole number, then 2 and 17,518,442.5 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 35,036,885
-1 -35,036,885

Now, we try dividing 35,036,885 by 3:

35,036,885 ÷ 3 = 11,678,961.6667

If the quotient is a whole number, then 3 and 11,678,961.6667 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 35,036,885
-1 -35,036,885

Let's try dividing by 4:

35,036,885 ÷ 4 = 8,759,221.25

If the quotient is a whole number, then 4 and 8,759,221.25 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 35,036,885
-1 35,036,885
Keep dividing by the next highest number until you cannot divide anymore.

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

151365974851,2615,5576,30527,78572,241361,205539,0292,695,1457,007,37735,036,885
-1-5-13-65-97-485-1,261-5,557-6,305-27,785-72,241-361,205-539,029-2,695,145-7,007,377-35,036,885

More Examples

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