Q: What are the factor combinations of the number 38,750,395?

 A:
Positive:   1 x 387503955 x 775007917 x 227943585 x 455887643 x 60265709 x 546553215 x 120533545 x 10931
Negative: -1 x -38750395-5 x -7750079-17 x -2279435-85 x -455887-643 x -60265-709 x -54655-3215 x -12053-3545 x -10931


How do I find the factor combinations of the number 38,750,395?

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 38,750,395, 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 38,750,395
-1 -38,750,395

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 38,750,395.

Example:
1 x 38,750,395 = 38,750,395
and
-1 x -38,750,395 = 38,750,395
Notice both answers equal 38,750,395

With that explanation out of the way, let's continue. Next, we take the number 38,750,395 and divide it by 2:

38,750,395 ÷ 2 = 19,375,197.5

If the quotient is a whole number, then 2 and 19,375,197.5 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 38,750,395
-1 -38,750,395

Now, we try dividing 38,750,395 by 3:

38,750,395 ÷ 3 = 12,916,798.3333

If the quotient is a whole number, then 3 and 12,916,798.3333 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 38,750,395
-1 -38,750,395

Let's try dividing by 4:

38,750,395 ÷ 4 = 9,687,598.75

If the quotient is a whole number, then 4 and 9,687,598.75 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 38,750,395
-1 38,750,395
Keep dividing by the next highest number until you cannot divide anymore.

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

1517856437093,2153,54510,93112,05354,65560,265455,8872,279,4357,750,07938,750,395
-1-5-17-85-643-709-3,215-3,545-10,931-12,053-54,655-60,265-455,887-2,279,435-7,750,079-38,750,395

More Examples

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