Q: What are the factor combinations of the number 35,435,999?

 A:
Positive:   1 x 3543599929 x 122193143 x 824093157 x 225707181 x 1957791247 x 284174553 x 77835249 x 6751
Negative: -1 x -35435999-29 x -1221931-43 x -824093-157 x -225707-181 x -195779-1247 x -28417-4553 x -7783-5249 x -6751


How do I find the factor combinations of the number 35,435,999?

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 35,435,999, 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 35,435,999
-1 -35,435,999

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 35,435,999.

Example:
1 x 35,435,999 = 35,435,999
and
-1 x -35,435,999 = 35,435,999
Notice both answers equal 35,435,999

With that explanation out of the way, let's continue. Next, we take the number 35,435,999 and divide it by 2:

35,435,999 ÷ 2 = 17,717,999.5

If the quotient is a whole number, then 2 and 17,717,999.5 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 35,435,999
-1 -35,435,999

Now, we try dividing 35,435,999 by 3:

35,435,999 ÷ 3 = 11,811,999.6667

If the quotient is a whole number, then 3 and 11,811,999.6667 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 35,435,999
-1 -35,435,999

Let's try dividing by 4:

35,435,999 ÷ 4 = 8,858,999.75

If the quotient is a whole number, then 4 and 8,858,999.75 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 35,435,999
-1 35,435,999
Keep dividing by the next highest number until you cannot divide anymore.

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

129431571811,2474,5535,2496,7517,78328,417195,779225,707824,0931,221,93135,435,999
-1-29-43-157-181-1,247-4,553-5,249-6,751-7,783-28,417-195,779-225,707-824,093-1,221,931-35,435,999

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 35,435,999:


Ask a Question