Q: What are the factor combinations of the number 1,389,245?

 A:
Positive:   1 x 13892455 x 27784911 x 12629513 x 10686529 x 4790555 x 2525965 x 2137367 x 20735143 x 9715145 x 9581319 x 4355335 x 4147377 x 3685715 x 1943737 x 1885871 x 1595
Negative: -1 x -1389245-5 x -277849-11 x -126295-13 x -106865-29 x -47905-55 x -25259-65 x -21373-67 x -20735-143 x -9715-145 x -9581-319 x -4355-335 x -4147-377 x -3685-715 x -1943-737 x -1885-871 x -1595


How do I find the factor combinations of the number 1,389,245?

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 1,389,245, 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 1,389,245
-1 -1,389,245

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 1,389,245.

Example:
1 x 1,389,245 = 1,389,245
and
-1 x -1,389,245 = 1,389,245
Notice both answers equal 1,389,245

With that explanation out of the way, let's continue. Next, we take the number 1,389,245 and divide it by 2:

1,389,245 ÷ 2 = 694,622.5

If the quotient is a whole number, then 2 and 694,622.5 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 1,389,245
-1 -1,389,245

Now, we try dividing 1,389,245 by 3:

1,389,245 ÷ 3 = 463,081.6667

If the quotient is a whole number, then 3 and 463,081.6667 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 1,389,245
-1 -1,389,245

Let's try dividing by 4:

1,389,245 ÷ 4 = 347,311.25

If the quotient is a whole number, then 4 and 347,311.25 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 1,389,245
-1 1,389,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151113295565671431453193353777157378711,5951,8851,9433,6854,1474,3559,5819,71520,73521,37325,25947,905106,865126,295277,8491,389,245
-1-5-11-13-29-55-65-67-143-145-319-335-377-715-737-871-1,595-1,885-1,943-3,685-4,147-4,355-9,581-9,715-20,735-21,373-25,259-47,905-106,865-126,295-277,849-1,389,245

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