Q: What are the factor combinations of the number 7,142,737?

 A:
Positive:   1 x 71427377 x 102039117 x 420161119 x 60023193 x 37009311 x 229671351 x 52872177 x 3281
Negative: -1 x -7142737-7 x -1020391-17 x -420161-119 x -60023-193 x -37009-311 x -22967-1351 x -5287-2177 x -3281


How do I find the factor combinations of the number 7,142,737?

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 7,142,737, 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 7,142,737
-1 -7,142,737

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 7,142,737.

Example:
1 x 7,142,737 = 7,142,737
and
-1 x -7,142,737 = 7,142,737
Notice both answers equal 7,142,737

With that explanation out of the way, let's continue. Next, we take the number 7,142,737 and divide it by 2:

7,142,737 ÷ 2 = 3,571,368.5

If the quotient is a whole number, then 2 and 3,571,368.5 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 7,142,737
-1 -7,142,737

Now, we try dividing 7,142,737 by 3:

7,142,737 ÷ 3 = 2,380,912.3333

If the quotient is a whole number, then 3 and 2,380,912.3333 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 7,142,737
-1 -7,142,737

Let's try dividing by 4:

7,142,737 ÷ 4 = 1,785,684.25

If the quotient is a whole number, then 4 and 1,785,684.25 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 7,142,737
-1 7,142,737
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191933111,3512,1773,2815,28722,96737,00960,023420,1611,020,3917,142,737
-1-7-17-119-193-311-1,351-2,177-3,281-5,287-22,967-37,009-60,023-420,161-1,020,391-7,142,737

More Examples

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