Q: What are the factor combinations of the number 137,715,565?

 A:
Positive:   1 x 1377155655 x 2754311313 x 1059350565 x 211870179 x 1743235169 x 814885395 x 348647845 x 1629771027 x 1340952063 x 667555135 x 2681910315 x 13351
Negative: -1 x -137715565-5 x -27543113-13 x -10593505-65 x -2118701-79 x -1743235-169 x -814885-395 x -348647-845 x -162977-1027 x -134095-2063 x -66755-5135 x -26819-10315 x -13351


How do I find the factor combinations of the number 137,715,565?

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 137,715,565, 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.

1 137,715,565
-1 -137,715,565

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 137,715,565.

Example:
1 x 137,715,565 = 137,715,565
and
-1 x -137,715,565 = 137,715,565
Notice both answers equal 137,715,565

With that explanation out of the way, let's continue. Next, we take the number 137,715,565 and divide it by 2:

137,715,565 ÷ 2 = 68,857,782.5

If the quotient is a whole number, then 2 and 68,857,782.5 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:

1 137,715,565
-1 -137,715,565

Now, we try dividing 137,715,565 by 3:

137,715,565 ÷ 3 = 45,905,188.3333

If the quotient is a whole number, then 3 and 45,905,188.3333 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:

1 137,715,565
-1 -137,715,565

Let's try dividing by 4:

137,715,565 ÷ 4 = 34,428,891.25

If the quotient is a whole number, then 4 and 34,428,891.25 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:

1 137,715,565
-1 137,715,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151365791693958451,0272,0635,13510,31513,35126,81966,755134,095162,977348,647814,8851,743,2352,118,70110,593,50527,543,113137,715,565
-1-5-13-65-79-169-395-845-1,027-2,063-5,135-10,315-13,351-26,819-66,755-134,095-162,977-348,647-814,885-1,743,235-2,118,701-10,593,505-27,543,113-137,715,565

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