Q: What are the factor combinations of the number 1,552,015?

 A:
Positive:   1 x 15520155 x 31040317 x 9129519 x 8168531 x 5006585 x 1825995 x 16337155 x 10013323 x 4805527 x 2945589 x 2635961 x 1615
Negative: -1 x -1552015-5 x -310403-17 x -91295-19 x -81685-31 x -50065-85 x -18259-95 x -16337-155 x -10013-323 x -4805-527 x -2945-589 x -2635-961 x -1615


How do I find the factor combinations of the number 1,552,015?

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 1,552,015, 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 1,552,015
-1 -1,552,015

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 1,552,015.

Example:
1 x 1,552,015 = 1,552,015
and
-1 x -1,552,015 = 1,552,015
Notice both answers equal 1,552,015

With that explanation out of the way, let's continue. Next, we take the number 1,552,015 and divide it by 2:

1,552,015 ÷ 2 = 776,007.5

If the quotient is a whole number, then 2 and 776,007.5 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 1,552,015
-1 -1,552,015

Now, we try dividing 1,552,015 by 3:

1,552,015 ÷ 3 = 517,338.3333

If the quotient is a whole number, then 3 and 517,338.3333 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 1,552,015
-1 -1,552,015

Let's try dividing by 4:

1,552,015 ÷ 4 = 388,003.75

If the quotient is a whole number, then 4 and 388,003.75 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 1,552,015
-1 1,552,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1517193185951553235275899611,6152,6352,9454,80510,01316,33718,25950,06581,68591,295310,4031,552,015
-1-5-17-19-31-85-95-155-323-527-589-961-1,615-2,635-2,945-4,805-10,013-16,337-18,259-50,065-81,685-91,295-310,403-1,552,015

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