Q: What are the factor combinations of the number 38,646,875?

 A:
Positive:   1 x 386468755 x 772937525 x 154587583 x 465625125 x 309175149 x 259375415 x 93125625 x 61835745 x 518752075 x 186253125 x 123673725 x 10375
Negative: -1 x -38646875-5 x -7729375-25 x -1545875-83 x -465625-125 x -309175-149 x -259375-415 x -93125-625 x -61835-745 x -51875-2075 x -18625-3125 x -12367-3725 x -10375


How do I find the factor combinations of the number 38,646,875?

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 38,646,875, 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 38,646,875
-1 -38,646,875

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 38,646,875.

Example:
1 x 38,646,875 = 38,646,875
and
-1 x -38,646,875 = 38,646,875
Notice both answers equal 38,646,875

With that explanation out of the way, let's continue. Next, we take the number 38,646,875 and divide it by 2:

38,646,875 ÷ 2 = 19,323,437.5

If the quotient is a whole number, then 2 and 19,323,437.5 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 38,646,875
-1 -38,646,875

Now, we try dividing 38,646,875 by 3:

38,646,875 ÷ 3 = 12,882,291.6667

If the quotient is a whole number, then 3 and 12,882,291.6667 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 38,646,875
-1 -38,646,875

Let's try dividing by 4:

38,646,875 ÷ 4 = 9,661,718.75

If the quotient is a whole number, then 4 and 9,661,718.75 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 38,646,875
-1 38,646,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831251494156257452,0753,1253,72510,37512,36718,62551,87561,83593,125259,375309,175465,6251,545,8757,729,37538,646,875
-1-5-25-83-125-149-415-625-745-2,075-3,125-3,725-10,375-12,367-18,625-51,875-61,835-93,125-259,375-309,175-465,625-1,545,875-7,729,375-38,646,875

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