Q: What are the factor combinations of the number 141,020,015?

 A:
Positive:   1 x 1410200155 x 2820400317 x 829529523 x 613130553 x 266075585 x 1659059115 x 1226261265 x 532151391 x 360665901 x 1565151219 x 1156851361 x 1036151955 x 721334505 x 313036095 x 231376805 x 20723
Negative: -1 x -141020015-5 x -28204003-17 x -8295295-23 x -6131305-53 x -2660755-85 x -1659059-115 x -1226261-265 x -532151-391 x -360665-901 x -156515-1219 x -115685-1361 x -103615-1955 x -72133-4505 x -31303-6095 x -23137-6805 x -20723


How do I find the factor combinations of the number 141,020,015?

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 141,020,015, 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.

1 141,020,015
-1 -141,020,015

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 141,020,015.

Example:
1 x 141,020,015 = 141,020,015
and
-1 x -141,020,015 = 141,020,015
Notice both answers equal 141,020,015

With that explanation out of the way, let's continue. Next, we take the number 141,020,015 and divide it by 2:

141,020,015 ÷ 2 = 70,510,007.5

If the quotient is a whole number, then 2 and 70,510,007.5 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:

1 141,020,015
-1 -141,020,015

Now, we try dividing 141,020,015 by 3:

141,020,015 ÷ 3 = 47,006,671.6667

If the quotient is a whole number, then 3 and 47,006,671.6667 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:

1 141,020,015
-1 -141,020,015

Let's try dividing by 4:

141,020,015 ÷ 4 = 35,255,003.75

If the quotient is a whole number, then 4 and 35,255,003.75 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:

1 141,020,015
-1 141,020,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15172353851152653919011,2191,3611,9554,5056,0956,80520,72323,13731,30372,133103,615115,685156,515360,665532,1511,226,2611,659,0592,660,7556,131,3058,295,29528,204,003141,020,015
-1-5-17-23-53-85-115-265-391-901-1,219-1,361-1,955-4,505-6,095-6,805-20,723-23,137-31,303-72,133-103,615-115,685-156,515-360,665-532,151-1,226,261-1,659,059-2,660,755-6,131,305-8,295,295-28,204,003-141,020,015

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