Q: What are the factor combinations of the number 38,720,017?

 A:
Positive:   1 x 387200177 x 553143123 x 168347929 x 1335173161 x 240497203 x 190739667 x 580514669 x 8293
Negative: -1 x -38720017-7 x -5531431-23 x -1683479-29 x -1335173-161 x -240497-203 x -190739-667 x -58051-4669 x -8293


How do I find the factor combinations of the number 38,720,017?

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 38,720,017, 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 38,720,017
-1 -38,720,017

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 38,720,017.

Example:
1 x 38,720,017 = 38,720,017
and
-1 x -38,720,017 = 38,720,017
Notice both answers equal 38,720,017

With that explanation out of the way, let's continue. Next, we take the number 38,720,017 and divide it by 2:

38,720,017 ÷ 2 = 19,360,008.5

If the quotient is a whole number, then 2 and 19,360,008.5 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 38,720,017
-1 -38,720,017

Now, we try dividing 38,720,017 by 3:

38,720,017 ÷ 3 = 12,906,672.3333

If the quotient is a whole number, then 3 and 12,906,672.3333 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 38,720,017
-1 -38,720,017

Let's try dividing by 4:

38,720,017 ÷ 4 = 9,680,004.25

If the quotient is a whole number, then 4 and 9,680,004.25 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 38,720,017
-1 38,720,017
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291612036674,6698,29358,051190,739240,4971,335,1731,683,4795,531,43138,720,017
-1-7-23-29-161-203-667-4,669-8,293-58,051-190,739-240,497-1,335,173-1,683,479-5,531,431-38,720,017

More Examples

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