Q: What are the factor combinations of the number 5,472,089?

 A:
Positive:   1 x 54720897 x 78172731 x 176519151 x 36239167 x 32767217 x 252171057 x 51771169 x 4681
Negative: -1 x -5472089-7 x -781727-31 x -176519-151 x -36239-167 x -32767-217 x -25217-1057 x -5177-1169 x -4681


How do I find the factor combinations of the number 5,472,089?

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 5,472,089, 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 5,472,089
-1 -5,472,089

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 5,472,089.

Example:
1 x 5,472,089 = 5,472,089
and
-1 x -5,472,089 = 5,472,089
Notice both answers equal 5,472,089

With that explanation out of the way, let's continue. Next, we take the number 5,472,089 and divide it by 2:

5,472,089 ÷ 2 = 2,736,044.5

If the quotient is a whole number, then 2 and 2,736,044.5 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 5,472,089
-1 -5,472,089

Now, we try dividing 5,472,089 by 3:

5,472,089 ÷ 3 = 1,824,029.6667

If the quotient is a whole number, then 3 and 1,824,029.6667 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 5,472,089
-1 -5,472,089

Let's try dividing by 4:

5,472,089 ÷ 4 = 1,368,022.25

If the quotient is a whole number, then 4 and 1,368,022.25 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 5,472,089
-1 5,472,089
Keep dividing by the next highest number until you cannot divide anymore.

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

17311511672171,0571,1694,6815,17725,21732,76736,239176,519781,7275,472,089
-1-7-31-151-167-217-1,057-1,169-4,681-5,177-25,217-32,767-36,239-176,519-781,727-5,472,089

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