Q: What are the factor combinations of the number 1,488,487?

 A:
Positive:   1 x 14884877 x 21264111 x 13531713 x 11449977 x 1933191 x 16357143 x 104091001 x 1487
Negative: -1 x -1488487-7 x -212641-11 x -135317-13 x -114499-77 x -19331-91 x -16357-143 x -10409-1001 x -1487


How do I find the factor combinations of the number 1,488,487?

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 1,488,487, 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 1,488,487
-1 -1,488,487

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 1,488,487.

Example:
1 x 1,488,487 = 1,488,487
and
-1 x -1,488,487 = 1,488,487
Notice both answers equal 1,488,487

With that explanation out of the way, let's continue. Next, we take the number 1,488,487 and divide it by 2:

1,488,487 ÷ 2 = 744,243.5

If the quotient is a whole number, then 2 and 744,243.5 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 1,488,487
-1 -1,488,487

Now, we try dividing 1,488,487 by 3:

1,488,487 ÷ 3 = 496,162.3333

If the quotient is a whole number, then 3 and 496,162.3333 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 1,488,487
-1 -1,488,487

Let's try dividing by 4:

1,488,487 ÷ 4 = 372,121.75

If the quotient is a whole number, then 4 and 372,121.75 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 1,488,487
-1 1,488,487
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,0011,48710,40916,35719,331114,499135,317212,6411,488,487
-1-7-11-13-77-91-143-1,001-1,487-10,409-16,357-19,331-114,499-135,317-212,641-1,488,487

More Examples

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