Q: What are the factor combinations of the number 137,473,543?

 A:
Positive:   1 x 13747354317 x 808667929 x 474046747 x 2924969289 x 475687349 x 393907493 x 278851799 x 1720571363 x 1008615933 x 231718381 x 1640310121 x 13583
Negative: -1 x -137473543-17 x -8086679-29 x -4740467-47 x -2924969-289 x -475687-349 x -393907-493 x -278851-799 x -172057-1363 x -100861-5933 x -23171-8381 x -16403-10121 x -13583


How do I find the factor combinations of the number 137,473,543?

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 137,473,543, 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.

1 137,473,543
-1 -137,473,543

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 137,473,543.

Example:
1 x 137,473,543 = 137,473,543
and
-1 x -137,473,543 = 137,473,543
Notice both answers equal 137,473,543

With that explanation out of the way, let's continue. Next, we take the number 137,473,543 and divide it by 2:

137,473,543 ÷ 2 = 68,736,771.5

If the quotient is a whole number, then 2 and 68,736,771.5 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:

1 137,473,543
-1 -137,473,543

Now, we try dividing 137,473,543 by 3:

137,473,543 ÷ 3 = 45,824,514.3333

If the quotient is a whole number, then 3 and 45,824,514.3333 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:

1 137,473,543
-1 -137,473,543

Let's try dividing by 4:

137,473,543 ÷ 4 = 34,368,385.75

If the quotient is a whole number, then 4 and 34,368,385.75 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:

1 137,473,543
-1 137,473,543
Keep dividing by the next highest number until you cannot divide anymore.

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

11729472893494937991,3635,9338,38110,12113,58316,40323,171100,861172,057278,851393,907475,6872,924,9694,740,4678,086,679137,473,543
-1-17-29-47-289-349-493-799-1,363-5,933-8,381-10,121-13,583-16,403-23,171-100,861-172,057-278,851-393,907-475,687-2,924,969-4,740,467-8,086,679-137,473,543

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