Q: What are the factor combinations of the number 1,352,401?

 A:
Positive:   1 x 135240117 x 7955319 x 7117953 x 2551779 x 17119323 x 4187901 x 15011007 x 1343
Negative: -1 x -1352401-17 x -79553-19 x -71179-53 x -25517-79 x -17119-323 x -4187-901 x -1501-1007 x -1343


How do I find the factor combinations of the number 1,352,401?

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 1,352,401, 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 1,352,401
-1 -1,352,401

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 1,352,401.

Example:
1 x 1,352,401 = 1,352,401
and
-1 x -1,352,401 = 1,352,401
Notice both answers equal 1,352,401

With that explanation out of the way, let's continue. Next, we take the number 1,352,401 and divide it by 2:

1,352,401 ÷ 2 = 676,200.5

If the quotient is a whole number, then 2 and 676,200.5 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 1,352,401
-1 -1,352,401

Now, we try dividing 1,352,401 by 3:

1,352,401 ÷ 3 = 450,800.3333

If the quotient is a whole number, then 3 and 450,800.3333 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 1,352,401
-1 -1,352,401

Let's try dividing by 4:

1,352,401 ÷ 4 = 338,100.25

If the quotient is a whole number, then 4 and 338,100.25 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 1,352,401
-1 1,352,401
Keep dividing by the next highest number until you cannot divide anymore.

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

1171953793239011,0071,3431,5014,18717,11925,51771,17979,5531,352,401
-1-17-19-53-79-323-901-1,007-1,343-1,501-4,187-17,119-25,517-71,179-79,553-1,352,401

More Examples

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