Q: What are the factor combinations of the number 1,488,905?

 A:
Positive:   1 x 14889055 x 29778111 x 13535523 x 6473555 x 27071107 x 13915115 x 12947121 x 12305253 x 5885535 x 2783605 x 24611177 x 1265
Negative: -1 x -1488905-5 x -297781-11 x -135355-23 x -64735-55 x -27071-107 x -13915-115 x -12947-121 x -12305-253 x -5885-535 x -2783-605 x -2461-1177 x -1265


How do I find the factor combinations of the number 1,488,905?

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 1,488,905, 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 1,488,905
-1 -1,488,905

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 1,488,905.

Example:
1 x 1,488,905 = 1,488,905
and
-1 x -1,488,905 = 1,488,905
Notice both answers equal 1,488,905

With that explanation out of the way, let's continue. Next, we take the number 1,488,905 and divide it by 2:

1,488,905 ÷ 2 = 744,452.5

If the quotient is a whole number, then 2 and 744,452.5 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 1,488,905
-1 -1,488,905

Now, we try dividing 1,488,905 by 3:

1,488,905 ÷ 3 = 496,301.6667

If the quotient is a whole number, then 3 and 496,301.6667 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 1,488,905
-1 -1,488,905

Let's try dividing by 4:

1,488,905 ÷ 4 = 372,226.25

If the quotient is a whole number, then 4 and 372,226.25 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 1,488,905
-1 1,488,905
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551071151212535356051,1771,2652,4612,7835,88512,30512,94713,91527,07164,735135,355297,7811,488,905
-1-5-11-23-55-107-115-121-253-535-605-1,177-1,265-2,461-2,783-5,885-12,305-12,947-13,915-27,071-64,735-135,355-297,781-1,488,905

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