Q: What are the factor combinations of the number 35,721,659?

 A:
Positive:   1 x 35721659
Negative: -1 x -35721659


How do I find the factor combinations of the number 35,721,659?

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 35,721,659, 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 35,721,659
-1 -35,721,659

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 35,721,659.

Example:
1 x 35,721,659 = 35,721,659
and
-1 x -35,721,659 = 35,721,659
Notice both answers equal 35,721,659

With that explanation out of the way, let's continue. Next, we take the number 35,721,659 and divide it by 2:

35,721,659 ÷ 2 = 17,860,829.5

If the quotient is a whole number, then 2 and 17,860,829.5 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 35,721,659
-1 -35,721,659

Now, we try dividing 35,721,659 by 3:

35,721,659 ÷ 3 = 11,907,219.6667

If the quotient is a whole number, then 3 and 11,907,219.6667 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 35,721,659
-1 -35,721,659

Let's try dividing by 4:

35,721,659 ÷ 4 = 8,930,414.75

If the quotient is a whole number, then 4 and 8,930,414.75 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 35,721,659
-1 35,721,659
Keep dividing by the next highest number until you cannot divide anymore.

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

135,721,659
-1-35,721,659

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 35,721,659:


Ask a Question