Q: What are the factor combinations of the number 38,038,045?

 A:
Positive:   1 x 380380455 x 7607609139 x 273655229 x 166105239 x 159155695 x 547311145 x 332211195 x 31831
Negative: -1 x -38038045-5 x -7607609-139 x -273655-229 x -166105-239 x -159155-695 x -54731-1145 x -33221-1195 x -31831


How do I find the factor combinations of the number 38,038,045?

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 38,038,045, 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 38,038,045
-1 -38,038,045

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 38,038,045.

Example:
1 x 38,038,045 = 38,038,045
and
-1 x -38,038,045 = 38,038,045
Notice both answers equal 38,038,045

With that explanation out of the way, let's continue. Next, we take the number 38,038,045 and divide it by 2:

38,038,045 ÷ 2 = 19,019,022.5

If the quotient is a whole number, then 2 and 19,019,022.5 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 38,038,045
-1 -38,038,045

Now, we try dividing 38,038,045 by 3:

38,038,045 ÷ 3 = 12,679,348.3333

If the quotient is a whole number, then 3 and 12,679,348.3333 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 38,038,045
-1 -38,038,045

Let's try dividing by 4:

38,038,045 ÷ 4 = 9,509,511.25

If the quotient is a whole number, then 4 and 9,509,511.25 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 38,038,045
-1 38,038,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151392292396951,1451,19531,83133,22154,731159,155166,105273,6557,607,60938,038,045
-1-5-139-229-239-695-1,145-1,195-31,831-33,221-54,731-159,155-166,105-273,655-7,607,609-38,038,045

More Examples

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