Q: What are the factor combinations of the number 5,474,975?

 A:
Positive:   1 x 54749755 x 109499511 x 49772525 x 21899943 x 12732555 x 99545215 x 25465275 x 19909463 x 11825473 x 115751075 x 50932315 x 2365
Negative: -1 x -5474975-5 x -1094995-11 x -497725-25 x -218999-43 x -127325-55 x -99545-215 x -25465-275 x -19909-463 x -11825-473 x -11575-1075 x -5093-2315 x -2365


How do I find the factor combinations of the number 5,474,975?

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 5,474,975, 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 5,474,975
-1 -5,474,975

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 5,474,975.

Example:
1 x 5,474,975 = 5,474,975
and
-1 x -5,474,975 = 5,474,975
Notice both answers equal 5,474,975

With that explanation out of the way, let's continue. Next, we take the number 5,474,975 and divide it by 2:

5,474,975 ÷ 2 = 2,737,487.5

If the quotient is a whole number, then 2 and 2,737,487.5 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 5,474,975
-1 -5,474,975

Now, we try dividing 5,474,975 by 3:

5,474,975 ÷ 3 = 1,824,991.6667

If the quotient is a whole number, then 3 and 1,824,991.6667 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 5,474,975
-1 -5,474,975

Let's try dividing by 4:

5,474,975 ÷ 4 = 1,368,743.75

If the quotient is a whole number, then 4 and 1,368,743.75 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 5,474,975
-1 5,474,975
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543552152754634731,0752,3152,3655,09311,57511,82519,90925,46599,545127,325218,999497,7251,094,9955,474,975
-1-5-11-25-43-55-215-275-463-473-1,075-2,315-2,365-5,093-11,575-11,825-19,909-25,465-99,545-127,325-218,999-497,725-1,094,995-5,474,975

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