Q: What are the factor combinations of the number 13,422,677?

 A:
Positive:   1 x 1342267759 x 22750383 x 1617192741 x 4897
Negative: -1 x -13422677-59 x -227503-83 x -161719-2741 x -4897


How do I find the factor combinations of the number 13,422,677?

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 13,422,677, 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 13,422,677
-1 -13,422,677

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 13,422,677.

Example:
1 x 13,422,677 = 13,422,677
and
-1 x -13,422,677 = 13,422,677
Notice both answers equal 13,422,677

With that explanation out of the way, let's continue. Next, we take the number 13,422,677 and divide it by 2:

13,422,677 ÷ 2 = 6,711,338.5

If the quotient is a whole number, then 2 and 6,711,338.5 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 13,422,677
-1 -13,422,677

Now, we try dividing 13,422,677 by 3:

13,422,677 ÷ 3 = 4,474,225.6667

If the quotient is a whole number, then 3 and 4,474,225.6667 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 13,422,677
-1 -13,422,677

Let's try dividing by 4:

13,422,677 ÷ 4 = 3,355,669.25

If the quotient is a whole number, then 4 and 3,355,669.25 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 13,422,677
-1 13,422,677
Keep dividing by the next highest number until you cannot divide anymore.

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

159832,7414,897161,719227,50313,422,677
-1-59-83-2,741-4,897-161,719-227,503-13,422,677

More Examples

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