Q: What are the factor combinations of the number 37,800,253?

 A:
Positive:   1 x 3780025319 x 198948729 x 130345731 x 1219363551 x 68603589 x 64177899 x 420472213 x 17081
Negative: -1 x -37800253-19 x -1989487-29 x -1303457-31 x -1219363-551 x -68603-589 x -64177-899 x -42047-2213 x -17081


How do I find the factor combinations of the number 37,800,253?

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 37,800,253, 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 37,800,253
-1 -37,800,253

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 37,800,253.

Example:
1 x 37,800,253 = 37,800,253
and
-1 x -37,800,253 = 37,800,253
Notice both answers equal 37,800,253

With that explanation out of the way, let's continue. Next, we take the number 37,800,253 and divide it by 2:

37,800,253 ÷ 2 = 18,900,126.5

If the quotient is a whole number, then 2 and 18,900,126.5 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 37,800,253
-1 -37,800,253

Now, we try dividing 37,800,253 by 3:

37,800,253 ÷ 3 = 12,600,084.3333

If the quotient is a whole number, then 3 and 12,600,084.3333 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 37,800,253
-1 -37,800,253

Let's try dividing by 4:

37,800,253 ÷ 4 = 9,450,063.25

If the quotient is a whole number, then 4 and 9,450,063.25 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 37,800,253
-1 37,800,253
Keep dividing by the next highest number until you cannot divide anymore.

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

11929315515898992,21317,08142,04764,17768,6031,219,3631,303,4571,989,48737,800,253
-1-19-29-31-551-589-899-2,213-17,081-42,047-64,177-68,603-1,219,363-1,303,457-1,989,487-37,800,253

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