Q: What are the factor combinations of the number 137,303,033?

 A:
Positive:   1 x 1373030337 x 1961471917 x 807664967 x 2049299119 x 1153807289 x 475097469 x 2927571013 x 1355411139 x 1205472023 x 678717091 x 193637973 x 17221
Negative: -1 x -137303033-7 x -19614719-17 x -8076649-67 x -2049299-119 x -1153807-289 x -475097-469 x -292757-1013 x -135541-1139 x -120547-2023 x -67871-7091 x -19363-7973 x -17221


How do I find the factor combinations of the number 137,303,033?

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 137,303,033, 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.

1 137,303,033
-1 -137,303,033

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 137,303,033.

Example:
1 x 137,303,033 = 137,303,033
and
-1 x -137,303,033 = 137,303,033
Notice both answers equal 137,303,033

With that explanation out of the way, let's continue. Next, we take the number 137,303,033 and divide it by 2:

137,303,033 ÷ 2 = 68,651,516.5

If the quotient is a whole number, then 2 and 68,651,516.5 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:

1 137,303,033
-1 -137,303,033

Now, we try dividing 137,303,033 by 3:

137,303,033 ÷ 3 = 45,767,677.6667

If the quotient is a whole number, then 3 and 45,767,677.6667 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:

1 137,303,033
-1 -137,303,033

Let's try dividing by 4:

137,303,033 ÷ 4 = 34,325,758.25

If the quotient is a whole number, then 4 and 34,325,758.25 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:

1 137,303,033
-1 137,303,033
Keep dividing by the next highest number until you cannot divide anymore.

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

1717671192894691,0131,1392,0237,0917,97317,22119,36367,871120,547135,541292,757475,0971,153,8072,049,2998,076,64919,614,719137,303,033
-1-7-17-67-119-289-469-1,013-1,139-2,023-7,091-7,973-17,221-19,363-67,871-120,547-135,541-292,757-475,097-1,153,807-2,049,299-8,076,649-19,614,719-137,303,033

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