Q: What are the factor combinations of the number 35,621,179?

 A:
Positive:   1 x 3562117911 x 323828979 x 450901179 x 199001229 x 155551869 x 409911969 x 180912519 x 14141
Negative: -1 x -35621179-11 x -3238289-79 x -450901-179 x -199001-229 x -155551-869 x -40991-1969 x -18091-2519 x -14141


How do I find the factor combinations of the number 35,621,179?

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 35,621,179, 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 35,621,179
-1 -35,621,179

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 35,621,179.

Example:
1 x 35,621,179 = 35,621,179
and
-1 x -35,621,179 = 35,621,179
Notice both answers equal 35,621,179

With that explanation out of the way, let's continue. Next, we take the number 35,621,179 and divide it by 2:

35,621,179 ÷ 2 = 17,810,589.5

If the quotient is a whole number, then 2 and 17,810,589.5 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 35,621,179
-1 -35,621,179

Now, we try dividing 35,621,179 by 3:

35,621,179 ÷ 3 = 11,873,726.3333

If the quotient is a whole number, then 3 and 11,873,726.3333 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 35,621,179
-1 -35,621,179

Let's try dividing by 4:

35,621,179 ÷ 4 = 8,905,294.75

If the quotient is a whole number, then 4 and 8,905,294.75 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 35,621,179
-1 35,621,179
Keep dividing by the next highest number until you cannot divide anymore.

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

111791792298691,9692,51914,14118,09140,991155,551199,001450,9013,238,28935,621,179
-1-11-79-179-229-869-1,969-2,519-14,141-18,091-40,991-155,551-199,001-450,901-3,238,289-35,621,179

More Examples

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