Q: What are the factor combinations of the number 37,757,735?

 A:
Positive:   1 x 377577355 x 755154797 x 389255127 x 297305485 x 77851613 x 61595635 x 594613065 x 12319
Negative: -1 x -37757735-5 x -7551547-97 x -389255-127 x -297305-485 x -77851-613 x -61595-635 x -59461-3065 x -12319


How do I find the factor combinations of the number 37,757,735?

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 37,757,735, 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 37,757,735
-1 -37,757,735

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 37,757,735.

Example:
1 x 37,757,735 = 37,757,735
and
-1 x -37,757,735 = 37,757,735
Notice both answers equal 37,757,735

With that explanation out of the way, let's continue. Next, we take the number 37,757,735 and divide it by 2:

37,757,735 ÷ 2 = 18,878,867.5

If the quotient is a whole number, then 2 and 18,878,867.5 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 37,757,735
-1 -37,757,735

Now, we try dividing 37,757,735 by 3:

37,757,735 ÷ 3 = 12,585,911.6667

If the quotient is a whole number, then 3 and 12,585,911.6667 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 37,757,735
-1 -37,757,735

Let's try dividing by 4:

37,757,735 ÷ 4 = 9,439,433.75

If the quotient is a whole number, then 4 and 9,439,433.75 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 37,757,735
-1 37,757,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15971274856136353,06512,31959,46161,59577,851297,305389,2557,551,54737,757,735
-1-5-97-127-485-613-635-3,065-12,319-59,461-61,595-77,851-297,305-389,255-7,551,547-37,757,735

More Examples

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