Q: What are the factor combinations of the number 1,667,875?

 A:
Positive:   1 x 16678755 x 33357511 x 15162525 x 6671555 x 30325125 x 13343275 x 60651213 x 1375
Negative: -1 x -1667875-5 x -333575-11 x -151625-25 x -66715-55 x -30325-125 x -13343-275 x -6065-1213 x -1375


How do I find the factor combinations of the number 1,667,875?

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 1,667,875, 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 1,667,875
-1 -1,667,875

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 1,667,875.

Example:
1 x 1,667,875 = 1,667,875
and
-1 x -1,667,875 = 1,667,875
Notice both answers equal 1,667,875

With that explanation out of the way, let's continue. Next, we take the number 1,667,875 and divide it by 2:

1,667,875 ÷ 2 = 833,937.5

If the quotient is a whole number, then 2 and 833,937.5 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 1,667,875
-1 -1,667,875

Now, we try dividing 1,667,875 by 3:

1,667,875 ÷ 3 = 555,958.3333

If the quotient is a whole number, then 3 and 555,958.3333 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 1,667,875
-1 -1,667,875

Let's try dividing by 4:

1,667,875 ÷ 4 = 416,968.75

If the quotient is a whole number, then 4 and 416,968.75 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 1,667,875
-1 1,667,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,2131,3756,06513,34330,32566,715151,625333,5751,667,875
-1-5-11-25-55-125-275-1,213-1,375-6,065-13,343-30,325-66,715-151,625-333,575-1,667,875

More Examples

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