Q: What are the factor combinations of the number 35,000,603?

 A:
Positive:   1 x 3500060311 x 318187317 x 205885919 x 1842137187 x 187169209 x 167467323 x 1083613553 x 9851
Negative: -1 x -35000603-11 x -3181873-17 x -2058859-19 x -1842137-187 x -187169-209 x -167467-323 x -108361-3553 x -9851


How do I find the factor combinations of the number 35,000,603?

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 35,000,603, 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 35,000,603
-1 -35,000,603

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 35,000,603.

Example:
1 x 35,000,603 = 35,000,603
and
-1 x -35,000,603 = 35,000,603
Notice both answers equal 35,000,603

With that explanation out of the way, let's continue. Next, we take the number 35,000,603 and divide it by 2:

35,000,603 ÷ 2 = 17,500,301.5

If the quotient is a whole number, then 2 and 17,500,301.5 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 35,000,603
-1 -35,000,603

Now, we try dividing 35,000,603 by 3:

35,000,603 ÷ 3 = 11,666,867.6667

If the quotient is a whole number, then 3 and 11,666,867.6667 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 35,000,603
-1 -35,000,603

Let's try dividing by 4:

35,000,603 ÷ 4 = 8,750,150.75

If the quotient is a whole number, then 4 and 8,750,150.75 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 35,000,603
-1 35,000,603
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093233,5539,851108,361167,467187,1691,842,1372,058,8593,181,87335,000,603
-1-11-17-19-187-209-323-3,553-9,851-108,361-167,467-187,169-1,842,137-2,058,859-3,181,873-35,000,603

More Examples

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