Q: What are the factor combinations of the number 137,467,627?

 A:
Positive:   1 x 13746762711 x 1249705717 x 808633129 x 4740263187 x 735121319 x 430933493 x 2788395423 x 25349
Negative: -1 x -137467627-11 x -12497057-17 x -8086331-29 x -4740263-187 x -735121-319 x -430933-493 x -278839-5423 x -25349


How do I find the factor combinations of the number 137,467,627?

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 137,467,627, 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.

1 137,467,627
-1 -137,467,627

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 137,467,627.

Example:
1 x 137,467,627 = 137,467,627
and
-1 x -137,467,627 = 137,467,627
Notice both answers equal 137,467,627

With that explanation out of the way, let's continue. Next, we take the number 137,467,627 and divide it by 2:

137,467,627 ÷ 2 = 68,733,813.5

If the quotient is a whole number, then 2 and 68,733,813.5 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:

1 137,467,627
-1 -137,467,627

Now, we try dividing 137,467,627 by 3:

137,467,627 ÷ 3 = 45,822,542.3333

If the quotient is a whole number, then 3 and 45,822,542.3333 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:

1 137,467,627
-1 -137,467,627

Let's try dividing by 4:

137,467,627 ÷ 4 = 34,366,906.75

If the quotient is a whole number, then 4 and 34,366,906.75 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:

1 137,467,627
-1 137,467,627
Keep dividing by the next highest number until you cannot divide anymore.

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

11117291873194935,42325,349278,839430,933735,1214,740,2638,086,33112,497,057137,467,627
-1-11-17-29-187-319-493-5,423-25,349-278,839-430,933-735,121-4,740,263-8,086,331-12,497,057-137,467,627

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