Q: What are the factor combinations of the number 1,500,335?

 A:
Positive:   1 x 15003355 x 30006717 x 8825519 x 7896585 x 1765195 x 15793323 x 4645929 x 1615
Negative: -1 x -1500335-5 x -300067-17 x -88255-19 x -78965-85 x -17651-95 x -15793-323 x -4645-929 x -1615


How do I find the factor combinations of the number 1,500,335?

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 1,500,335, 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 1,500,335
-1 -1,500,335

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 1,500,335.

Example:
1 x 1,500,335 = 1,500,335
and
-1 x -1,500,335 = 1,500,335
Notice both answers equal 1,500,335

With that explanation out of the way, let's continue. Next, we take the number 1,500,335 and divide it by 2:

1,500,335 ÷ 2 = 750,167.5

If the quotient is a whole number, then 2 and 750,167.5 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 1,500,335
-1 -1,500,335

Now, we try dividing 1,500,335 by 3:

1,500,335 ÷ 3 = 500,111.6667

If the quotient is a whole number, then 3 and 500,111.6667 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 1,500,335
-1 -1,500,335

Let's try dividing by 4:

1,500,335 ÷ 4 = 375,083.75

If the quotient is a whole number, then 4 and 375,083.75 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 1,500,335
-1 1,500,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953239291,6154,64515,79317,65178,96588,255300,0671,500,335
-1-5-17-19-85-95-323-929-1,615-4,645-15,793-17,651-78,965-88,255-300,067-1,500,335

More Examples

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