Q: What are the factor combinations of the number 5,424,125?

 A:
Positive:   1 x 54241255 x 10848257 x 77487525 x 21696535 x 154975125 x 43393175 x 30995875 x 6199
Negative: -1 x -5424125-5 x -1084825-7 x -774875-25 x -216965-35 x -154975-125 x -43393-175 x -30995-875 x -6199


How do I find the factor combinations of the number 5,424,125?

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 5,424,125, 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 5,424,125
-1 -5,424,125

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 5,424,125.

Example:
1 x 5,424,125 = 5,424,125
and
-1 x -5,424,125 = 5,424,125
Notice both answers equal 5,424,125

With that explanation out of the way, let's continue. Next, we take the number 5,424,125 and divide it by 2:

5,424,125 ÷ 2 = 2,712,062.5

If the quotient is a whole number, then 2 and 2,712,062.5 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 5,424,125
-1 -5,424,125

Now, we try dividing 5,424,125 by 3:

5,424,125 ÷ 3 = 1,808,041.6667

If the quotient is a whole number, then 3 and 1,808,041.6667 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 5,424,125
-1 -5,424,125

Let's try dividing by 4:

5,424,125 ÷ 4 = 1,356,031.25

If the quotient is a whole number, then 4 and 1,356,031.25 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 5,424,125
-1 5,424,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251758756,19930,99543,393154,975216,965774,8751,084,8255,424,125
-1-5-7-25-35-125-175-875-6,199-30,995-43,393-154,975-216,965-774,875-1,084,825-5,424,125

More Examples

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