Q: What are the factor combinations of the number 37,337,671?

 A:
Positive:   1 x 373376717 x 533395323 x 162337731 x 1204441161 x 231911217 x 172063713 x 523674991 x 7481
Negative: -1 x -37337671-7 x -5333953-23 x -1623377-31 x -1204441-161 x -231911-217 x -172063-713 x -52367-4991 x -7481


How do I find the factor combinations of the number 37,337,671?

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 37,337,671, 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 37,337,671
-1 -37,337,671

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 37,337,671.

Example:
1 x 37,337,671 = 37,337,671
and
-1 x -37,337,671 = 37,337,671
Notice both answers equal 37,337,671

With that explanation out of the way, let's continue. Next, we take the number 37,337,671 and divide it by 2:

37,337,671 ÷ 2 = 18,668,835.5

If the quotient is a whole number, then 2 and 18,668,835.5 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 37,337,671
-1 -37,337,671

Now, we try dividing 37,337,671 by 3:

37,337,671 ÷ 3 = 12,445,890.3333

If the quotient is a whole number, then 3 and 12,445,890.3333 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 37,337,671
-1 -37,337,671

Let's try dividing by 4:

37,337,671 ÷ 4 = 9,334,417.75

If the quotient is a whole number, then 4 and 9,334,417.75 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 37,337,671
-1 37,337,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612177134,9917,48152,367172,063231,9111,204,4411,623,3775,333,95337,337,671
-1-7-23-31-161-217-713-4,991-7,481-52,367-172,063-231,911-1,204,441-1,623,377-5,333,953-37,337,671

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