Q: What are the factor combinations of the number 137,330,575?

 A:
Positive:   1 x 1373305755 x 2746611519 x 722792525 x 549322395 x 1445585131 x 1048325475 x 289117655 x 2096652207 x 622252489 x 551753275 x 4193311035 x 12445
Negative: -1 x -137330575-5 x -27466115-19 x -7227925-25 x -5493223-95 x -1445585-131 x -1048325-475 x -289117-655 x -209665-2207 x -62225-2489 x -55175-3275 x -41933-11035 x -12445


How do I find the factor combinations of the number 137,330,575?

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 137,330,575, 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.

1 137,330,575
-1 -137,330,575

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 137,330,575.

Example:
1 x 137,330,575 = 137,330,575
and
-1 x -137,330,575 = 137,330,575
Notice both answers equal 137,330,575

With that explanation out of the way, let's continue. Next, we take the number 137,330,575 and divide it by 2:

137,330,575 ÷ 2 = 68,665,287.5

If the quotient is a whole number, then 2 and 68,665,287.5 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:

1 137,330,575
-1 -137,330,575

Now, we try dividing 137,330,575 by 3:

137,330,575 ÷ 3 = 45,776,858.3333

If the quotient is a whole number, then 3 and 45,776,858.3333 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:

1 137,330,575
-1 -137,330,575

Let's try dividing by 4:

137,330,575 ÷ 4 = 34,332,643.75

If the quotient is a whole number, then 4 and 34,332,643.75 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:

1 137,330,575
-1 137,330,575
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951314756552,2072,4893,27511,03512,44541,93355,17562,225209,665289,1171,048,3251,445,5855,493,2237,227,92527,466,115137,330,575
-1-5-19-25-95-131-475-655-2,207-2,489-3,275-11,035-12,445-41,933-55,175-62,225-209,665-289,117-1,048,325-1,445,585-5,493,223-7,227,925-27,466,115-137,330,575

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