Q: What are the factor combinations of the number 37,014,355?

 A:
Positive:   1 x 370143555 x 74028717 x 528776517 x 217731535 x 105755349 x 75539585 x 435463119 x 311045245 x 151079595 x 62209833 x 444354165 x 8887
Negative: -1 x -37014355-5 x -7402871-7 x -5287765-17 x -2177315-35 x -1057553-49 x -755395-85 x -435463-119 x -311045-245 x -151079-595 x -62209-833 x -44435-4165 x -8887


How do I find the factor combinations of the number 37,014,355?

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 37,014,355, 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 37,014,355
-1 -37,014,355

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 37,014,355.

Example:
1 x 37,014,355 = 37,014,355
and
-1 x -37,014,355 = 37,014,355
Notice both answers equal 37,014,355

With that explanation out of the way, let's continue. Next, we take the number 37,014,355 and divide it by 2:

37,014,355 ÷ 2 = 18,507,177.5

If the quotient is a whole number, then 2 and 18,507,177.5 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 37,014,355
-1 -37,014,355

Now, we try dividing 37,014,355 by 3:

37,014,355 ÷ 3 = 12,338,118.3333

If the quotient is a whole number, then 3 and 12,338,118.3333 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 37,014,355
-1 -37,014,355

Let's try dividing by 4:

37,014,355 ÷ 4 = 9,253,588.75

If the quotient is a whole number, then 4 and 9,253,588.75 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 37,014,355
-1 37,014,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157173549851192455958334,1658,88744,43562,209151,079311,045435,463755,3951,057,5532,177,3155,287,7657,402,87137,014,355
-1-5-7-17-35-49-85-119-245-595-833-4,165-8,887-44,435-62,209-151,079-311,045-435,463-755,395-1,057,553-2,177,315-5,287,765-7,402,871-37,014,355

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