Q: What are the factor combinations of the number 13,748,273?

 A:
Positive:   1 x 137482737 x 196403911 x 124984323 x 59775149 x 28057777 x 178549161 x 85393253 x 54341539 x 255071109 x 123971127 x 121991771 x 7763
Negative: -1 x -13748273-7 x -1964039-11 x -1249843-23 x -597751-49 x -280577-77 x -178549-161 x -85393-253 x -54341-539 x -25507-1109 x -12397-1127 x -12199-1771 x -7763


How do I find the factor combinations of the number 13,748,273?

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 13,748,273, 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 13,748,273
-1 -13,748,273

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 13,748,273.

Example:
1 x 13,748,273 = 13,748,273
and
-1 x -13,748,273 = 13,748,273
Notice both answers equal 13,748,273

With that explanation out of the way, let's continue. Next, we take the number 13,748,273 and divide it by 2:

13,748,273 ÷ 2 = 6,874,136.5

If the quotient is a whole number, then 2 and 6,874,136.5 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 13,748,273
-1 -13,748,273

Now, we try dividing 13,748,273 by 3:

13,748,273 ÷ 3 = 4,582,757.6667

If the quotient is a whole number, then 3 and 4,582,757.6667 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 13,748,273
-1 -13,748,273

Let's try dividing by 4:

13,748,273 ÷ 4 = 3,437,068.25

If the quotient is a whole number, then 4 and 3,437,068.25 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 13,748,273
-1 13,748,273
Keep dividing by the next highest number until you cannot divide anymore.

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

17112349771612535391,1091,1271,7717,76312,19912,39725,50754,34185,393178,549280,577597,7511,249,8431,964,03913,748,273
-1-7-11-23-49-77-161-253-539-1,109-1,127-1,771-7,763-12,199-12,397-25,507-54,341-85,393-178,549-280,577-597,751-1,249,843-1,964,039-13,748,273

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