Q: What are the factor combinations of the number 32,201,315?

 A:
Positive:   1 x 322013155 x 644026317 x 189419559 x 54578585 x 378839295 x 1091571003 x 321055015 x 6421
Negative: -1 x -32201315-5 x -6440263-17 x -1894195-59 x -545785-85 x -378839-295 x -109157-1003 x -32105-5015 x -6421


How do I find the factor combinations of the number 32,201,315?

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 32,201,315, 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 32,201,315
-1 -32,201,315

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 32,201,315.

Example:
1 x 32,201,315 = 32,201,315
and
-1 x -32,201,315 = 32,201,315
Notice both answers equal 32,201,315

With that explanation out of the way, let's continue. Next, we take the number 32,201,315 and divide it by 2:

32,201,315 ÷ 2 = 16,100,657.5

If the quotient is a whole number, then 2 and 16,100,657.5 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 32,201,315
-1 -32,201,315

Now, we try dividing 32,201,315 by 3:

32,201,315 ÷ 3 = 10,733,771.6667

If the quotient is a whole number, then 3 and 10,733,771.6667 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 32,201,315
-1 -32,201,315

Let's try dividing by 4:

32,201,315 ÷ 4 = 8,050,328.75

If the quotient is a whole number, then 4 and 8,050,328.75 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 32,201,315
-1 32,201,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151759852951,0035,0156,42132,105109,157378,839545,7851,894,1956,440,26332,201,315
-1-5-17-59-85-295-1,003-5,015-6,421-32,105-109,157-378,839-545,785-1,894,195-6,440,263-32,201,315

More Examples

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