Q: What are the factor combinations of the number 134,421,247?

 A:
Positive:   1 x 13442124741 x 327856761 x 220362771 x 1893257757 x 1775712501 x 537472911 x 461774331 x 31037
Negative: -1 x -134421247-41 x -3278567-61 x -2203627-71 x -1893257-757 x -177571-2501 x -53747-2911 x -46177-4331 x -31037


How do I find the factor combinations of the number 134,421,247?

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 134,421,247, 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.

1 134,421,247
-1 -134,421,247

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 134,421,247.

Example:
1 x 134,421,247 = 134,421,247
and
-1 x -134,421,247 = 134,421,247
Notice both answers equal 134,421,247

With that explanation out of the way, let's continue. Next, we take the number 134,421,247 and divide it by 2:

134,421,247 ÷ 2 = 67,210,623.5

If the quotient is a whole number, then 2 and 67,210,623.5 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:

1 134,421,247
-1 -134,421,247

Now, we try dividing 134,421,247 by 3:

134,421,247 ÷ 3 = 44,807,082.3333

If the quotient is a whole number, then 3 and 44,807,082.3333 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:

1 134,421,247
-1 -134,421,247

Let's try dividing by 4:

134,421,247 ÷ 4 = 33,605,311.75

If the quotient is a whole number, then 4 and 33,605,311.75 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:

1 134,421,247
-1 134,421,247
Keep dividing by the next highest number until you cannot divide anymore.

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

14161717572,5012,9114,33131,03746,17753,747177,5711,893,2572,203,6273,278,567134,421,247
-1-41-61-71-757-2,501-2,911-4,331-31,037-46,177-53,747-177,571-1,893,257-2,203,627-3,278,567-134,421,247

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