Q: What are the factor combinations of the number 237,075,504?

 A:
Positive:   1 x 2370755042 x 1185377523 x 790251684 x 592688766 x 395125848 x 2963443812 x 1975629216 x 1481721924 x 987814648 x 4939073
Negative: -1 x -237075504-2 x -118537752-3 x -79025168-4 x -59268876-6 x -39512584-8 x -29634438-12 x -19756292-16 x -14817219-24 x -9878146-48 x -4939073


How do I find the factor combinations of the number 237,075,504?

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 237,075,504, 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.

1 237,075,504
-1 -237,075,504

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 237,075,504.

Example:
1 x 237,075,504 = 237,075,504
and
-1 x -237,075,504 = 237,075,504
Notice both answers equal 237,075,504

With that explanation out of the way, let's continue. Next, we take the number 237,075,504 and divide it by 2:

237,075,504 ÷ 2 = 118,537,752

If the quotient is a whole number, then 2 and 118,537,752 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 118,537,752 237,075,504
-1 -2 -118,537,752 -237,075,504

Now, we try dividing 237,075,504 by 3:

237,075,504 ÷ 3 = 79,025,168

If the quotient is a whole number, then 3 and 79,025,168 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 79,025,168 118,537,752 237,075,504
-1 -2 -3 -79,025,168 -118,537,752 -237,075,504

Let's try dividing by 4:

237,075,504 ÷ 4 = 59,268,876

If the quotient is a whole number, then 4 and 59,268,876 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 59,268,876 79,025,168 118,537,752 237,075,504
-1 -2 -3 -4 -59,268,876 -79,025,168 -118,537,752 237,075,504
Keep dividing by the next highest number until you cannot divide anymore.

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

123468121624484,939,0739,878,14614,817,21919,756,29229,634,43839,512,58459,268,87679,025,168118,537,752237,075,504
-1-2-3-4-6-8-12-16-24-48-4,939,073-9,878,146-14,817,219-19,756,292-29,634,438-39,512,584-59,268,876-79,025,168-118,537,752-237,075,504

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