Q: What are the factor combinations of the number 32,348,693?

 A:
Positive:   1 x 3234869313 x 248836137 x 874289109 x 296777481 x 67253617 x 524291417 x 228294033 x 8021
Negative: -1 x -32348693-13 x -2488361-37 x -874289-109 x -296777-481 x -67253-617 x -52429-1417 x -22829-4033 x -8021


How do I find the factor combinations of the number 32,348,693?

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 32,348,693, 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 32,348,693
-1 -32,348,693

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 32,348,693.

Example:
1 x 32,348,693 = 32,348,693
and
-1 x -32,348,693 = 32,348,693
Notice both answers equal 32,348,693

With that explanation out of the way, let's continue. Next, we take the number 32,348,693 and divide it by 2:

32,348,693 ÷ 2 = 16,174,346.5

If the quotient is a whole number, then 2 and 16,174,346.5 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 32,348,693
-1 -32,348,693

Now, we try dividing 32,348,693 by 3:

32,348,693 ÷ 3 = 10,782,897.6667

If the quotient is a whole number, then 3 and 10,782,897.6667 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 32,348,693
-1 -32,348,693

Let's try dividing by 4:

32,348,693 ÷ 4 = 8,087,173.25

If the quotient is a whole number, then 4 and 8,087,173.25 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 32,348,693
-1 32,348,693
Keep dividing by the next highest number until you cannot divide anymore.

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

113371094816171,4174,0338,02122,82952,42967,253296,777874,2892,488,36132,348,693
-1-13-37-109-481-617-1,417-4,033-8,021-22,829-52,429-67,253-296,777-874,289-2,488,361-32,348,693

More Examples

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