Q: What are the factor combinations of the number 15,142,127?

 A:
Positive:   1 x 151421277 x 216316111 x 137655713 x 116477949 x 30902377 x 19665191 x 166397143 x 105889539 x 28093637 x 237711001 x 151272161 x 7007
Negative: -1 x -15142127-7 x -2163161-11 x -1376557-13 x -1164779-49 x -309023-77 x -196651-91 x -166397-143 x -105889-539 x -28093-637 x -23771-1001 x -15127-2161 x -7007


How do I find the factor combinations of the number 15,142,127?

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 15,142,127, 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 15,142,127
-1 -15,142,127

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 15,142,127.

Example:
1 x 15,142,127 = 15,142,127
and
-1 x -15,142,127 = 15,142,127
Notice both answers equal 15,142,127

With that explanation out of the way, let's continue. Next, we take the number 15,142,127 and divide it by 2:

15,142,127 ÷ 2 = 7,571,063.5

If the quotient is a whole number, then 2 and 7,571,063.5 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 15,142,127
-1 -15,142,127

Now, we try dividing 15,142,127 by 3:

15,142,127 ÷ 3 = 5,047,375.6667

If the quotient is a whole number, then 3 and 5,047,375.6667 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 15,142,127
-1 -15,142,127

Let's try dividing by 4:

15,142,127 ÷ 4 = 3,785,531.75

If the quotient is a whole number, then 4 and 3,785,531.75 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 15,142,127
-1 15,142,127
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911435396371,0012,1617,00715,12723,77128,093105,889166,397196,651309,0231,164,7791,376,5572,163,16115,142,127
-1-7-11-13-49-77-91-143-539-637-1,001-2,161-7,007-15,127-23,771-28,093-105,889-166,397-196,651-309,023-1,164,779-1,376,557-2,163,161-15,142,127

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