Q: What are the factor combinations of the number 38,750,005?

 A:
Positive:   1 x 387500055 x 77500017 x 553571535 x 1107143683 x 567351621 x 239053415 x 113474781 x 8105
Negative: -1 x -38750005-5 x -7750001-7 x -5535715-35 x -1107143-683 x -56735-1621 x -23905-3415 x -11347-4781 x -8105


How do I find the factor combinations of the number 38,750,005?

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 38,750,005, 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 38,750,005
-1 -38,750,005

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 38,750,005.

Example:
1 x 38,750,005 = 38,750,005
and
-1 x -38,750,005 = 38,750,005
Notice both answers equal 38,750,005

With that explanation out of the way, let's continue. Next, we take the number 38,750,005 and divide it by 2:

38,750,005 ÷ 2 = 19,375,002.5

If the quotient is a whole number, then 2 and 19,375,002.5 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 38,750,005
-1 -38,750,005

Now, we try dividing 38,750,005 by 3:

38,750,005 ÷ 3 = 12,916,668.3333

If the quotient is a whole number, then 3 and 12,916,668.3333 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 38,750,005
-1 -38,750,005

Let's try dividing by 4:

38,750,005 ÷ 4 = 9,687,501.25

If the quotient is a whole number, then 4 and 9,687,501.25 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 38,750,005
-1 38,750,005
Keep dividing by the next highest number until you cannot divide anymore.

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

157356831,6213,4154,7818,10511,34723,90556,7351,107,1435,535,7157,750,00138,750,005
-1-5-7-35-683-1,621-3,415-4,781-8,105-11,347-23,905-56,735-1,107,143-5,535,715-7,750,001-38,750,005

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