Q: What are the factor combinations of the number 55,313,351?

 A:
Positive:   1 x 5531335119 x 291122943 x 128635779 x 700169817 x 67703857 x 645431501 x 368513397 x 16283
Negative: -1 x -55313351-19 x -2911229-43 x -1286357-79 x -700169-817 x -67703-857 x -64543-1501 x -36851-3397 x -16283


How do I find the factor combinations of the number 55,313,351?

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 55,313,351, 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 55,313,351
-1 -55,313,351

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 55,313,351.

Example:
1 x 55,313,351 = 55,313,351
and
-1 x -55,313,351 = 55,313,351
Notice both answers equal 55,313,351

With that explanation out of the way, let's continue. Next, we take the number 55,313,351 and divide it by 2:

55,313,351 ÷ 2 = 27,656,675.5

If the quotient is a whole number, then 2 and 27,656,675.5 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 55,313,351
-1 -55,313,351

Now, we try dividing 55,313,351 by 3:

55,313,351 ÷ 3 = 18,437,783.6667

If the quotient is a whole number, then 3 and 18,437,783.6667 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 55,313,351
-1 -55,313,351

Let's try dividing by 4:

55,313,351 ÷ 4 = 13,828,337.75

If the quotient is a whole number, then 4 and 13,828,337.75 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 55,313,351
-1 55,313,351
Keep dividing by the next highest number until you cannot divide anymore.

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

11943798178571,5013,39716,28336,85164,54367,703700,1691,286,3572,911,22955,313,351
-1-19-43-79-817-857-1,501-3,397-16,283-36,851-64,543-67,703-700,169-1,286,357-2,911,229-55,313,351

More Examples

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