Q: What are the factor combinations of the number 237,418,357?

 A:
Positive:   1 x 23741835711 x 2158348719 x 12495703151 x 1572307209 x 11359731661 x 1429372869 x 827537523 x 31559
Negative: -1 x -237418357-11 x -21583487-19 x -12495703-151 x -1572307-209 x -1135973-1661 x -142937-2869 x -82753-7523 x -31559


How do I find the factor combinations of the number 237,418,357?

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 237,418,357, 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.

1 237,418,357
-1 -237,418,357

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 237,418,357.

Example:
1 x 237,418,357 = 237,418,357
and
-1 x -237,418,357 = 237,418,357
Notice both answers equal 237,418,357

With that explanation out of the way, let's continue. Next, we take the number 237,418,357 and divide it by 2:

237,418,357 ÷ 2 = 118,709,178.5

If the quotient is a whole number, then 2 and 118,709,178.5 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:

1 237,418,357
-1 -237,418,357

Now, we try dividing 237,418,357 by 3:

237,418,357 ÷ 3 = 79,139,452.3333

If the quotient is a whole number, then 3 and 79,139,452.3333 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:

1 237,418,357
-1 -237,418,357

Let's try dividing by 4:

237,418,357 ÷ 4 = 59,354,589.25

If the quotient is a whole number, then 4 and 59,354,589.25 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:

1 237,418,357
-1 237,418,357
Keep dividing by the next highest number until you cannot divide anymore.

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

111191512091,6612,8697,52331,55982,753142,9371,135,9731,572,30712,495,70321,583,487237,418,357
-1-11-19-151-209-1,661-2,869-7,523-31,559-82,753-142,937-1,135,973-1,572,307-12,495,703-21,583,487-237,418,357

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