Q: What are the factor combinations of the number 52,337,021?

 A:
Positive:   1 x 5233702111 x 475791131 x 1688291341 x 153481961 x 544614951 x 10571
Negative: -1 x -52337021-11 x -4757911-31 x -1688291-341 x -153481-961 x -54461-4951 x -10571


How do I find the factor combinations of the number 52,337,021?

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 52,337,021, 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 52,337,021
-1 -52,337,021

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 52,337,021.

Example:
1 x 52,337,021 = 52,337,021
and
-1 x -52,337,021 = 52,337,021
Notice both answers equal 52,337,021

With that explanation out of the way, let's continue. Next, we take the number 52,337,021 and divide it by 2:

52,337,021 ÷ 2 = 26,168,510.5

If the quotient is a whole number, then 2 and 26,168,510.5 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 52,337,021
-1 -52,337,021

Now, we try dividing 52,337,021 by 3:

52,337,021 ÷ 3 = 17,445,673.6667

If the quotient is a whole number, then 3 and 17,445,673.6667 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 52,337,021
-1 -52,337,021

Let's try dividing by 4:

52,337,021 ÷ 4 = 13,084,255.25

If the quotient is a whole number, then 4 and 13,084,255.25 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 52,337,021
-1 52,337,021
Keep dividing by the next highest number until you cannot divide anymore.

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

111313419614,95110,57154,461153,4811,688,2914,757,91152,337,021
-1-11-31-341-961-4,951-10,571-54,461-153,481-1,688,291-4,757,911-52,337,021

More Examples

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