Q: What are the factor combinations of the number 1,427,755?

 A:
Positive:   1 x 14277555 x 2855517 x 20396519 x 7514535 x 4079395 x 15029113 x 12635133 x 10735361 x 3955565 x 2527665 x 2147791 x 1805
Negative: -1 x -1427755-5 x -285551-7 x -203965-19 x -75145-35 x -40793-95 x -15029-113 x -12635-133 x -10735-361 x -3955-565 x -2527-665 x -2147-791 x -1805


How do I find the factor combinations of the number 1,427,755?

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 1,427,755, 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 1,427,755
-1 -1,427,755

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 1,427,755.

Example:
1 x 1,427,755 = 1,427,755
and
-1 x -1,427,755 = 1,427,755
Notice both answers equal 1,427,755

With that explanation out of the way, let's continue. Next, we take the number 1,427,755 and divide it by 2:

1,427,755 ÷ 2 = 713,877.5

If the quotient is a whole number, then 2 and 713,877.5 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 1,427,755
-1 -1,427,755

Now, we try dividing 1,427,755 by 3:

1,427,755 ÷ 3 = 475,918.3333

If the quotient is a whole number, then 3 and 475,918.3333 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 1,427,755
-1 -1,427,755

Let's try dividing by 4:

1,427,755 ÷ 4 = 356,938.75

If the quotient is a whole number, then 4 and 356,938.75 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 1,427,755
-1 1,427,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951131333615656657911,8052,1472,5273,95510,73512,63515,02940,79375,145203,965285,5511,427,755
-1-5-7-19-35-95-113-133-361-565-665-791-1,805-2,147-2,527-3,955-10,735-12,635-15,029-40,793-75,145-203,965-285,551-1,427,755

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