Q: What are the factor combinations of the number 38,027,483?

 A:
Positive:   1 x 3802748313 x 292519131 x 1226693127 x 299429403 x 94361743 x 511811651 x 230333937 x 9659
Negative: -1 x -38027483-13 x -2925191-31 x -1226693-127 x -299429-403 x -94361-743 x -51181-1651 x -23033-3937 x -9659


How do I find the factor combinations of the number 38,027,483?

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 38,027,483, 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 38,027,483
-1 -38,027,483

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 38,027,483.

Example:
1 x 38,027,483 = 38,027,483
and
-1 x -38,027,483 = 38,027,483
Notice both answers equal 38,027,483

With that explanation out of the way, let's continue. Next, we take the number 38,027,483 and divide it by 2:

38,027,483 ÷ 2 = 19,013,741.5

If the quotient is a whole number, then 2 and 19,013,741.5 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 38,027,483
-1 -38,027,483

Now, we try dividing 38,027,483 by 3:

38,027,483 ÷ 3 = 12,675,827.6667

If the quotient is a whole number, then 3 and 12,675,827.6667 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 38,027,483
-1 -38,027,483

Let's try dividing by 4:

38,027,483 ÷ 4 = 9,506,870.75

If the quotient is a whole number, then 4 and 9,506,870.75 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 38,027,483
-1 38,027,483
Keep dividing by the next highest number until you cannot divide anymore.

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

113311274037431,6513,9379,65923,03351,18194,361299,4291,226,6932,925,19138,027,483
-1-13-31-127-403-743-1,651-3,937-9,659-23,033-51,181-94,361-299,429-1,226,693-2,925,191-38,027,483

More Examples

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