Q: What are the factor combinations of the number 237,433,801?

 A:
Positive:   1 x 23743380111 x 2158489147 x 5051783353 x 672617517 x 4592531301 x 1825013883 x 6114714311 x 16591
Negative: -1 x -237433801-11 x -21584891-47 x -5051783-353 x -672617-517 x -459253-1301 x -182501-3883 x -61147-14311 x -16591


How do I find the factor combinations of the number 237,433,801?

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 237,433,801, 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.

1 237,433,801
-1 -237,433,801

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 237,433,801.

Example:
1 x 237,433,801 = 237,433,801
and
-1 x -237,433,801 = 237,433,801
Notice both answers equal 237,433,801

With that explanation out of the way, let's continue. Next, we take the number 237,433,801 and divide it by 2:

237,433,801 ÷ 2 = 118,716,900.5

If the quotient is a whole number, then 2 and 118,716,900.5 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:

1 237,433,801
-1 -237,433,801

Now, we try dividing 237,433,801 by 3:

237,433,801 ÷ 3 = 79,144,600.3333

If the quotient is a whole number, then 3 and 79,144,600.3333 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:

1 237,433,801
-1 -237,433,801

Let's try dividing by 4:

237,433,801 ÷ 4 = 59,358,450.25

If the quotient is a whole number, then 4 and 59,358,450.25 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:

1 237,433,801
-1 237,433,801
Keep dividing by the next highest number until you cannot divide anymore.

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

111473535171,3013,88314,31116,59161,147182,501459,253672,6175,051,78321,584,891237,433,801
-1-11-47-353-517-1,301-3,883-14,311-16,591-61,147-182,501-459,253-672,617-5,051,783-21,584,891-237,433,801

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