Q: What are the factor combinations of the number 1,502,875?

 A:
Positive:   1 x 15028755 x 30057511 x 13662525 x 6011555 x 27325125 x 12023275 x 54651093 x 1375
Negative: -1 x -1502875-5 x -300575-11 x -136625-25 x -60115-55 x -27325-125 x -12023-275 x -5465-1093 x -1375


How do I find the factor combinations of the number 1,502,875?

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 1,502,875, 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 1,502,875
-1 -1,502,875

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 1,502,875.

Example:
1 x 1,502,875 = 1,502,875
and
-1 x -1,502,875 = 1,502,875
Notice both answers equal 1,502,875

With that explanation out of the way, let's continue. Next, we take the number 1,502,875 and divide it by 2:

1,502,875 ÷ 2 = 751,437.5

If the quotient is a whole number, then 2 and 751,437.5 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 1,502,875
-1 -1,502,875

Now, we try dividing 1,502,875 by 3:

1,502,875 ÷ 3 = 500,958.3333

If the quotient is a whole number, then 3 and 500,958.3333 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 1,502,875
-1 -1,502,875

Let's try dividing by 4:

1,502,875 ÷ 4 = 375,718.75

If the quotient is a whole number, then 4 and 375,718.75 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 1,502,875
-1 1,502,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,0931,3755,46512,02327,32560,115136,625300,5751,502,875
-1-5-11-25-55-125-275-1,093-1,375-5,465-12,023-27,325-60,115-136,625-300,575-1,502,875

More Examples

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