Q: What are the factor combinations of the number 143,532,025?

 A:
Positive:   1 x 1435320255 x 287064057 x 2050457513 x 1104092525 x 574128135 x 410091549 x 292922565 x 220818591 x 1577275175 x 820183245 x 585845325 x 441637455 x 315455637 x 2253251225 x 1171692275 x 630913185 x 450659013 x 15925
Negative: -1 x -143532025-5 x -28706405-7 x -20504575-13 x -11040925-25 x -5741281-35 x -4100915-49 x -2929225-65 x -2208185-91 x -1577275-175 x -820183-245 x -585845-325 x -441637-455 x -315455-637 x -225325-1225 x -117169-2275 x -63091-3185 x -45065-9013 x -15925


How do I find the factor combinations of the number 143,532,025?

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 143,532,025, 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.

1 143,532,025
-1 -143,532,025

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 143,532,025.

Example:
1 x 143,532,025 = 143,532,025
and
-1 x -143,532,025 = 143,532,025
Notice both answers equal 143,532,025

With that explanation out of the way, let's continue. Next, we take the number 143,532,025 and divide it by 2:

143,532,025 ÷ 2 = 71,766,012.5

If the quotient is a whole number, then 2 and 71,766,012.5 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:

1 143,532,025
-1 -143,532,025

Now, we try dividing 143,532,025 by 3:

143,532,025 ÷ 3 = 47,844,008.3333

If the quotient is a whole number, then 3 and 47,844,008.3333 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:

1 143,532,025
-1 -143,532,025

Let's try dividing by 4:

143,532,025 ÷ 4 = 35,883,006.25

If the quotient is a whole number, then 4 and 35,883,006.25 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:

1 143,532,025
-1 143,532,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1571325354965911752453254556371,2252,2753,1859,01315,92545,06563,091117,169225,325315,455441,637585,845820,1831,577,2752,208,1852,929,2254,100,9155,741,28111,040,92520,504,57528,706,405143,532,025
-1-5-7-13-25-35-49-65-91-175-245-325-455-637-1,225-2,275-3,185-9,013-15,925-45,065-63,091-117,169-225,325-315,455-441,637-585,845-820,183-1,577,275-2,208,185-2,929,225-4,100,915-5,741,281-11,040,925-20,504,575-28,706,405-143,532,025

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