Q: What are the factor combinations of the number 363,545,435?

 A:
Positive:   1 x 3635454355 x 7270908711 x 3304958543 x 845454555 x 6609917215 x 1690909473 x 7685952365 x 153719
Negative: -1 x -363545435-5 x -72709087-11 x -33049585-43 x -8454545-55 x -6609917-215 x -1690909-473 x -768595-2365 x -153719


How do I find the factor combinations of the number 363,545,435?

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 363,545,435, 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.

1 363,545,435
-1 -363,545,435

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 363,545,435.

Example:
1 x 363,545,435 = 363,545,435
and
-1 x -363,545,435 = 363,545,435
Notice both answers equal 363,545,435

With that explanation out of the way, let's continue. Next, we take the number 363,545,435 and divide it by 2:

363,545,435 ÷ 2 = 181,772,717.5

If the quotient is a whole number, then 2 and 181,772,717.5 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:

1 363,545,435
-1 -363,545,435

Now, we try dividing 363,545,435 by 3:

363,545,435 ÷ 3 = 121,181,811.6667

If the quotient is a whole number, then 3 and 121,181,811.6667 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:

1 363,545,435
-1 -363,545,435

Let's try dividing by 4:

363,545,435 ÷ 4 = 90,886,358.75

If the quotient is a whole number, then 4 and 90,886,358.75 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:

1 363,545,435
-1 363,545,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,365153,719768,5951,690,9096,609,9178,454,54533,049,58572,709,087363,545,435
-1-5-11-43-55-215-473-2,365-153,719-768,595-1,690,909-6,609,917-8,454,545-33,049,585-72,709,087-363,545,435

More Examples

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