Q: What are the factor combinations of the number 1,462,363?

 A:
Positive:   1 x 14623637 x 20890923 x 6358131 x 47173161 x 9083217 x 6739293 x 4991713 x 2051
Negative: -1 x -1462363-7 x -208909-23 x -63581-31 x -47173-161 x -9083-217 x -6739-293 x -4991-713 x -2051


How do I find the factor combinations of the number 1,462,363?

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 1,462,363, 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 1,462,363
-1 -1,462,363

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 1,462,363.

Example:
1 x 1,462,363 = 1,462,363
and
-1 x -1,462,363 = 1,462,363
Notice both answers equal 1,462,363

With that explanation out of the way, let's continue. Next, we take the number 1,462,363 and divide it by 2:

1,462,363 ÷ 2 = 731,181.5

If the quotient is a whole number, then 2 and 731,181.5 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 1,462,363
-1 -1,462,363

Now, we try dividing 1,462,363 by 3:

1,462,363 ÷ 3 = 487,454.3333

If the quotient is a whole number, then 3 and 487,454.3333 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 1,462,363
-1 -1,462,363

Let's try dividing by 4:

1,462,363 ÷ 4 = 365,590.75

If the quotient is a whole number, then 4 and 365,590.75 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 1,462,363
-1 1,462,363
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612172937132,0514,9916,7399,08347,17363,581208,9091,462,363
-1-7-23-31-161-217-293-713-2,051-4,991-6,739-9,083-47,173-63,581-208,909-1,462,363

More Examples

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