Q: What are the factor combinations of the number 37,373,873?

 A:
Positive:   1 x 3737387323 x 162495167 x 55781979 x 473087307 x 1217391541 x 242531817 x 205695293 x 7061
Negative: -1 x -37373873-23 x -1624951-67 x -557819-79 x -473087-307 x -121739-1541 x -24253-1817 x -20569-5293 x -7061


How do I find the factor combinations of the number 37,373,873?

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 37,373,873, 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 37,373,873
-1 -37,373,873

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 37,373,873.

Example:
1 x 37,373,873 = 37,373,873
and
-1 x -37,373,873 = 37,373,873
Notice both answers equal 37,373,873

With that explanation out of the way, let's continue. Next, we take the number 37,373,873 and divide it by 2:

37,373,873 ÷ 2 = 18,686,936.5

If the quotient is a whole number, then 2 and 18,686,936.5 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 37,373,873
-1 -37,373,873

Now, we try dividing 37,373,873 by 3:

37,373,873 ÷ 3 = 12,457,957.6667

If the quotient is a whole number, then 3 and 12,457,957.6667 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 37,373,873
-1 -37,373,873

Let's try dividing by 4:

37,373,873 ÷ 4 = 9,343,468.25

If the quotient is a whole number, then 4 and 9,343,468.25 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 37,373,873
-1 37,373,873
Keep dividing by the next highest number until you cannot divide anymore.

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

12367793071,5411,8175,2937,06120,56924,253121,739473,087557,8191,624,95137,373,873
-1-23-67-79-307-1,541-1,817-5,293-7,061-20,569-24,253-121,739-473,087-557,819-1,624,951-37,373,873

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