Q: What are the factor combinations of the number 37,337,675?

 A:
Positive:   1 x 373376755 x 746753525 x 149350741 x 91067573 x 511475205 x 182135365 x 102295499 x 748251025 x 364271825 x 204592495 x 149652993 x 12475
Negative: -1 x -37337675-5 x -7467535-25 x -1493507-41 x -910675-73 x -511475-205 x -182135-365 x -102295-499 x -74825-1025 x -36427-1825 x -20459-2495 x -14965-2993 x -12475


How do I find the factor combinations of the number 37,337,675?

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 37,337,675, 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 37,337,675
-1 -37,337,675

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 37,337,675.

Example:
1 x 37,337,675 = 37,337,675
and
-1 x -37,337,675 = 37,337,675
Notice both answers equal 37,337,675

With that explanation out of the way, let's continue. Next, we take the number 37,337,675 and divide it by 2:

37,337,675 ÷ 2 = 18,668,837.5

If the quotient is a whole number, then 2 and 18,668,837.5 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 37,337,675
-1 -37,337,675

Now, we try dividing 37,337,675 by 3:

37,337,675 ÷ 3 = 12,445,891.6667

If the quotient is a whole number, then 3 and 12,445,891.6667 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 37,337,675
-1 -37,337,675

Let's try dividing by 4:

37,337,675 ÷ 4 = 9,334,418.75

If the quotient is a whole number, then 4 and 9,334,418.75 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 37,337,675
-1 37,337,675
Keep dividing by the next highest number until you cannot divide anymore.

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

152541732053654991,0251,8252,4952,99312,47514,96520,45936,42774,825102,295182,135511,475910,6751,493,5077,467,53537,337,675
-1-5-25-41-73-205-365-499-1,025-1,825-2,495-2,993-12,475-14,965-20,459-36,427-74,825-102,295-182,135-511,475-910,675-1,493,507-7,467,535-37,337,675

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