Q: What are the factor combinations of the number 13,402,145?

 A:
Positive:   1 x 134021455 x 268042959 x 227155181 x 74045251 x 53395295 x 45431905 x 148091255 x 10679
Negative: -1 x -13402145-5 x -2680429-59 x -227155-181 x -74045-251 x -53395-295 x -45431-905 x -14809-1255 x -10679


How do I find the factor combinations of the number 13,402,145?

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 13,402,145, 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 13,402,145
-1 -13,402,145

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 13,402,145.

Example:
1 x 13,402,145 = 13,402,145
and
-1 x -13,402,145 = 13,402,145
Notice both answers equal 13,402,145

With that explanation out of the way, let's continue. Next, we take the number 13,402,145 and divide it by 2:

13,402,145 ÷ 2 = 6,701,072.5

If the quotient is a whole number, then 2 and 6,701,072.5 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 13,402,145
-1 -13,402,145

Now, we try dividing 13,402,145 by 3:

13,402,145 ÷ 3 = 4,467,381.6667

If the quotient is a whole number, then 3 and 4,467,381.6667 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 13,402,145
-1 -13,402,145

Let's try dividing by 4:

13,402,145 ÷ 4 = 3,350,536.25

If the quotient is a whole number, then 4 and 3,350,536.25 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 13,402,145
-1 13,402,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15591812512959051,25510,67914,80945,43153,39574,045227,1552,680,42913,402,145
-1-5-59-181-251-295-905-1,255-10,679-14,809-45,431-53,395-74,045-227,155-2,680,429-13,402,145

More Examples

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