Q: What are the factor combinations of the number 55,045,543?

 A:
Positive:   1 x 550455437 x 7863649179 x 307517197 x 279419223 x 2468411253 x 439311379 x 399171561 x 35263
Negative: -1 x -55045543-7 x -7863649-179 x -307517-197 x -279419-223 x -246841-1253 x -43931-1379 x -39917-1561 x -35263


How do I find the factor combinations of the number 55,045,543?

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 55,045,543, 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 55,045,543
-1 -55,045,543

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 55,045,543.

Example:
1 x 55,045,543 = 55,045,543
and
-1 x -55,045,543 = 55,045,543
Notice both answers equal 55,045,543

With that explanation out of the way, let's continue. Next, we take the number 55,045,543 and divide it by 2:

55,045,543 ÷ 2 = 27,522,771.5

If the quotient is a whole number, then 2 and 27,522,771.5 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 55,045,543
-1 -55,045,543

Now, we try dividing 55,045,543 by 3:

55,045,543 ÷ 3 = 18,348,514.3333

If the quotient is a whole number, then 3 and 18,348,514.3333 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 55,045,543
-1 -55,045,543

Let's try dividing by 4:

55,045,543 ÷ 4 = 13,761,385.75

If the quotient is a whole number, then 4 and 13,761,385.75 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 55,045,543
-1 55,045,543
Keep dividing by the next highest number until you cannot divide anymore.

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

171791972231,2531,3791,56135,26339,91743,931246,841279,419307,5177,863,64955,045,543
-1-7-179-197-223-1,253-1,379-1,561-35,263-39,917-43,931-246,841-279,419-307,517-7,863,649-55,045,543

More Examples

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