Q: What are the factor combinations of the number 35,315,765?

 A:
Positive:   1 x 353157655 x 706315329 x 121778579 x 447035145 x 243557395 x 894072291 x 154153083 x 11455
Negative: -1 x -35315765-5 x -7063153-29 x -1217785-79 x -447035-145 x -243557-395 x -89407-2291 x -15415-3083 x -11455


How do I find the factor combinations of the number 35,315,765?

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 35,315,765, 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 35,315,765
-1 -35,315,765

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 35,315,765.

Example:
1 x 35,315,765 = 35,315,765
and
-1 x -35,315,765 = 35,315,765
Notice both answers equal 35,315,765

With that explanation out of the way, let's continue. Next, we take the number 35,315,765 and divide it by 2:

35,315,765 ÷ 2 = 17,657,882.5

If the quotient is a whole number, then 2 and 17,657,882.5 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 35,315,765
-1 -35,315,765

Now, we try dividing 35,315,765 by 3:

35,315,765 ÷ 3 = 11,771,921.6667

If the quotient is a whole number, then 3 and 11,771,921.6667 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 35,315,765
-1 -35,315,765

Let's try dividing by 4:

35,315,765 ÷ 4 = 8,828,941.25

If the quotient is a whole number, then 4 and 8,828,941.25 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 35,315,765
-1 35,315,765
Keep dividing by the next highest number until you cannot divide anymore.

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

1529791453952,2913,08311,45515,41589,407243,557447,0351,217,7857,063,15335,315,765
-1-5-29-79-145-395-2,291-3,083-11,455-15,415-89,407-243,557-447,035-1,217,785-7,063,153-35,315,765

More Examples

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