Q: What are the factor combinations of the number 5,498,725?

 A:
Positive:   1 x 54987255 x 109974523 x 23907525 x 21994973 x 75325115 x 47815131 x 41975365 x 15065575 x 9563655 x 83951679 x 32751825 x 3013
Negative: -1 x -5498725-5 x -1099745-23 x -239075-25 x -219949-73 x -75325-115 x -47815-131 x -41975-365 x -15065-575 x -9563-655 x -8395-1679 x -3275-1825 x -3013


How do I find the factor combinations of the number 5,498,725?

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 5,498,725, 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 5,498,725
-1 -5,498,725

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 5,498,725.

Example:
1 x 5,498,725 = 5,498,725
and
-1 x -5,498,725 = 5,498,725
Notice both answers equal 5,498,725

With that explanation out of the way, let's continue. Next, we take the number 5,498,725 and divide it by 2:

5,498,725 ÷ 2 = 2,749,362.5

If the quotient is a whole number, then 2 and 2,749,362.5 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 5,498,725
-1 -5,498,725

Now, we try dividing 5,498,725 by 3:

5,498,725 ÷ 3 = 1,832,908.3333

If the quotient is a whole number, then 3 and 1,832,908.3333 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 5,498,725
-1 -5,498,725

Let's try dividing by 4:

5,498,725 ÷ 4 = 1,374,681.25

If the quotient is a whole number, then 4 and 1,374,681.25 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 5,498,725
-1 5,498,725
Keep dividing by the next highest number until you cannot divide anymore.

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

152325731151313655756551,6791,8253,0133,2758,3959,56315,06541,97547,81575,325219,949239,0751,099,7455,498,725
-1-5-23-25-73-115-131-365-575-655-1,679-1,825-3,013-3,275-8,395-9,563-15,065-41,975-47,815-75,325-219,949-239,075-1,099,745-5,498,725

More Examples

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