Q: What are the factor combinations of the number 37,154,039?

 A:
Positive:   1 x 3715403913 x 285800323 x 1615393299 x 124261313 x 118703397 x 935874069 x 91315161 x 7199
Negative: -1 x -37154039-13 x -2858003-23 x -1615393-299 x -124261-313 x -118703-397 x -93587-4069 x -9131-5161 x -7199


How do I find the factor combinations of the number 37,154,039?

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 37,154,039, 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 37,154,039
-1 -37,154,039

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 37,154,039.

Example:
1 x 37,154,039 = 37,154,039
and
-1 x -37,154,039 = 37,154,039
Notice both answers equal 37,154,039

With that explanation out of the way, let's continue. Next, we take the number 37,154,039 and divide it by 2:

37,154,039 ÷ 2 = 18,577,019.5

If the quotient is a whole number, then 2 and 18,577,019.5 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 37,154,039
-1 -37,154,039

Now, we try dividing 37,154,039 by 3:

37,154,039 ÷ 3 = 12,384,679.6667

If the quotient is a whole number, then 3 and 12,384,679.6667 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 37,154,039
-1 -37,154,039

Let's try dividing by 4:

37,154,039 ÷ 4 = 9,288,509.75

If the quotient is a whole number, then 4 and 9,288,509.75 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 37,154,039
-1 37,154,039
Keep dividing by the next highest number until you cannot divide anymore.

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

113232993133974,0695,1617,1999,13193,587118,703124,2611,615,3932,858,00337,154,039
-1-13-23-299-313-397-4,069-5,161-7,199-9,131-93,587-118,703-124,261-1,615,393-2,858,003-37,154,039

More Examples

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