Q: What are the factor combinations of the number 35,235,421?

 A:
Positive:   1 x 3523542113 x 271041773 x 482677107 x 329303347 x 101543949 x 371291391 x 253314511 x 7811
Negative: -1 x -35235421-13 x -2710417-73 x -482677-107 x -329303-347 x -101543-949 x -37129-1391 x -25331-4511 x -7811


How do I find the factor combinations of the number 35,235,421?

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 35,235,421, 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 35,235,421
-1 -35,235,421

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 35,235,421.

Example:
1 x 35,235,421 = 35,235,421
and
-1 x -35,235,421 = 35,235,421
Notice both answers equal 35,235,421

With that explanation out of the way, let's continue. Next, we take the number 35,235,421 and divide it by 2:

35,235,421 ÷ 2 = 17,617,710.5

If the quotient is a whole number, then 2 and 17,617,710.5 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 35,235,421
-1 -35,235,421

Now, we try dividing 35,235,421 by 3:

35,235,421 ÷ 3 = 11,745,140.3333

If the quotient is a whole number, then 3 and 11,745,140.3333 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 35,235,421
-1 -35,235,421

Let's try dividing by 4:

35,235,421 ÷ 4 = 8,808,855.25

If the quotient is a whole number, then 4 and 8,808,855.25 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 35,235,421
-1 35,235,421
Keep dividing by the next highest number until you cannot divide anymore.

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

113731073479491,3914,5117,81125,33137,129101,543329,303482,6772,710,41735,235,421
-1-13-73-107-347-949-1,391-4,511-7,811-25,331-37,129-101,543-329,303-482,677-2,710,417-35,235,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 35,235,421:


Ask a Question