Q: What are the factor combinations of the number 1,402,555?

 A:
Positive:   1 x 14025555 x 2805117 x 20036511 x 12750535 x 4007355 x 2550177 x 18215385 x 3643
Negative: -1 x -1402555-5 x -280511-7 x -200365-11 x -127505-35 x -40073-55 x -25501-77 x -18215-385 x -3643


How do I find the factor combinations of the number 1,402,555?

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 1,402,555, 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 1,402,555
-1 -1,402,555

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 1,402,555.

Example:
1 x 1,402,555 = 1,402,555
and
-1 x -1,402,555 = 1,402,555
Notice both answers equal 1,402,555

With that explanation out of the way, let's continue. Next, we take the number 1,402,555 and divide it by 2:

1,402,555 ÷ 2 = 701,277.5

If the quotient is a whole number, then 2 and 701,277.5 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 1,402,555
-1 -1,402,555

Now, we try dividing 1,402,555 by 3:

1,402,555 ÷ 3 = 467,518.3333

If the quotient is a whole number, then 3 and 467,518.3333 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 1,402,555
-1 -1,402,555

Let's try dividing by 4:

1,402,555 ÷ 4 = 350,638.75

If the quotient is a whole number, then 4 and 350,638.75 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 1,402,555
-1 1,402,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773853,64318,21525,50140,073127,505200,365280,5111,402,555
-1-5-7-11-35-55-77-385-3,643-18,215-25,501-40,073-127,505-200,365-280,511-1,402,555

More Examples

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