Q: What are the factor combinations of the number 51,421,243?

 A:
Positive:   1 x 5142124317 x 302477947 x 1094069139 x 369937463 x 111061799 x 643572363 x 217616533 x 7871
Negative: -1 x -51421243-17 x -3024779-47 x -1094069-139 x -369937-463 x -111061-799 x -64357-2363 x -21761-6533 x -7871


How do I find the factor combinations of the number 51,421,243?

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 51,421,243, 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 51,421,243
-1 -51,421,243

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 51,421,243.

Example:
1 x 51,421,243 = 51,421,243
and
-1 x -51,421,243 = 51,421,243
Notice both answers equal 51,421,243

With that explanation out of the way, let's continue. Next, we take the number 51,421,243 and divide it by 2:

51,421,243 ÷ 2 = 25,710,621.5

If the quotient is a whole number, then 2 and 25,710,621.5 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 51,421,243
-1 -51,421,243

Now, we try dividing 51,421,243 by 3:

51,421,243 ÷ 3 = 17,140,414.3333

If the quotient is a whole number, then 3 and 17,140,414.3333 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 51,421,243
-1 -51,421,243

Let's try dividing by 4:

51,421,243 ÷ 4 = 12,855,310.75

If the quotient is a whole number, then 4 and 12,855,310.75 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 51,421,243
-1 51,421,243
Keep dividing by the next highest number until you cannot divide anymore.

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

117471394637992,3636,5337,87121,76164,357111,061369,9371,094,0693,024,77951,421,243
-1-17-47-139-463-799-2,363-6,533-7,871-21,761-64,357-111,061-369,937-1,094,069-3,024,779-51,421,243

More Examples

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