Q: What are the factor combinations of the number 1,436,695?

 A:
Positive:   1 x 14366955 x 28733913 x 11051523 x 6246531 x 4634565 x 22103115 x 12493155 x 9269299 x 4805403 x 3565713 x 2015961 x 1495
Negative: -1 x -1436695-5 x -287339-13 x -110515-23 x -62465-31 x -46345-65 x -22103-115 x -12493-155 x -9269-299 x -4805-403 x -3565-713 x -2015-961 x -1495


How do I find the factor combinations of the number 1,436,695?

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 1,436,695, 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 1,436,695
-1 -1,436,695

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 1,436,695.

Example:
1 x 1,436,695 = 1,436,695
and
-1 x -1,436,695 = 1,436,695
Notice both answers equal 1,436,695

With that explanation out of the way, let's continue. Next, we take the number 1,436,695 and divide it by 2:

1,436,695 ÷ 2 = 718,347.5

If the quotient is a whole number, then 2 and 718,347.5 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 1,436,695
-1 -1,436,695

Now, we try dividing 1,436,695 by 3:

1,436,695 ÷ 3 = 478,898.3333

If the quotient is a whole number, then 3 and 478,898.3333 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 1,436,695
-1 -1,436,695

Let's try dividing by 4:

1,436,695 ÷ 4 = 359,173.75

If the quotient is a whole number, then 4 and 359,173.75 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 1,436,695
-1 1,436,695
Keep dividing by the next highest number until you cannot divide anymore.

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

15132331651151552994037139611,4952,0153,5654,8059,26912,49322,10346,34562,465110,515287,3391,436,695
-1-5-13-23-31-65-115-155-299-403-713-961-1,495-2,015-3,565-4,805-9,269-12,493-22,103-46,345-62,465-110,515-287,339-1,436,695

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