Q: What are the factor combinations of the number 52,024,357?

 A:
Positive:   1 x 520243577 x 743205111 x 472948777 x 675641557 x 934011213 x 428893899 x 133436127 x 8491
Negative: -1 x -52024357-7 x -7432051-11 x -4729487-77 x -675641-557 x -93401-1213 x -42889-3899 x -13343-6127 x -8491


How do I find the factor combinations of the number 52,024,357?

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 52,024,357, 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 52,024,357
-1 -52,024,357

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 52,024,357.

Example:
1 x 52,024,357 = 52,024,357
and
-1 x -52,024,357 = 52,024,357
Notice both answers equal 52,024,357

With that explanation out of the way, let's continue. Next, we take the number 52,024,357 and divide it by 2:

52,024,357 ÷ 2 = 26,012,178.5

If the quotient is a whole number, then 2 and 26,012,178.5 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 52,024,357
-1 -52,024,357

Now, we try dividing 52,024,357 by 3:

52,024,357 ÷ 3 = 17,341,452.3333

If the quotient is a whole number, then 3 and 17,341,452.3333 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 52,024,357
-1 -52,024,357

Let's try dividing by 4:

52,024,357 ÷ 4 = 13,006,089.25

If the quotient is a whole number, then 4 and 13,006,089.25 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 52,024,357
-1 52,024,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1711775571,2133,8996,1278,49113,34342,88993,401675,6414,729,4877,432,05152,024,357
-1-7-11-77-557-1,213-3,899-6,127-8,491-13,343-42,889-93,401-675,641-4,729,487-7,432,051-52,024,357

More Examples

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