Q: What are the factor combinations of the number 38,235,821?

 A:
Positive:   1 x 3823582113 x 294121723 x 166242741 x 932581299 x 127879533 x 71737943 x 405473119 x 12259
Negative: -1 x -38235821-13 x -2941217-23 x -1662427-41 x -932581-299 x -127879-533 x -71737-943 x -40547-3119 x -12259


How do I find the factor combinations of the number 38,235,821?

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 38,235,821, 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 38,235,821
-1 -38,235,821

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 38,235,821.

Example:
1 x 38,235,821 = 38,235,821
and
-1 x -38,235,821 = 38,235,821
Notice both answers equal 38,235,821

With that explanation out of the way, let's continue. Next, we take the number 38,235,821 and divide it by 2:

38,235,821 ÷ 2 = 19,117,910.5

If the quotient is a whole number, then 2 and 19,117,910.5 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 38,235,821
-1 -38,235,821

Now, we try dividing 38,235,821 by 3:

38,235,821 ÷ 3 = 12,745,273.6667

If the quotient is a whole number, then 3 and 12,745,273.6667 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 38,235,821
-1 -38,235,821

Let's try dividing by 4:

38,235,821 ÷ 4 = 9,558,955.25

If the quotient is a whole number, then 4 and 9,558,955.25 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 38,235,821
-1 38,235,821
Keep dividing by the next highest number until you cannot divide anymore.

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

11323412995339433,11912,25940,54771,737127,879932,5811,662,4272,941,21738,235,821
-1-13-23-41-299-533-943-3,119-12,259-40,547-71,737-127,879-932,581-1,662,427-2,941,217-38,235,821

More Examples

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