Q: What are the factor combinations of the number 32,436,325?

 A:
Positive:   1 x 324363255 x 648726519 x 170717523 x 141027525 x 129745395 x 341435115 x 282055437 x 74225475 x 68287575 x 564112185 x 148452969 x 10925
Negative: -1 x -32436325-5 x -6487265-19 x -1707175-23 x -1410275-25 x -1297453-95 x -341435-115 x -282055-437 x -74225-475 x -68287-575 x -56411-2185 x -14845-2969 x -10925


How do I find the factor combinations of the number 32,436,325?

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 32,436,325, 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 32,436,325
-1 -32,436,325

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 32,436,325.

Example:
1 x 32,436,325 = 32,436,325
and
-1 x -32,436,325 = 32,436,325
Notice both answers equal 32,436,325

With that explanation out of the way, let's continue. Next, we take the number 32,436,325 and divide it by 2:

32,436,325 ÷ 2 = 16,218,162.5

If the quotient is a whole number, then 2 and 16,218,162.5 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 32,436,325
-1 -32,436,325

Now, we try dividing 32,436,325 by 3:

32,436,325 ÷ 3 = 10,812,108.3333

If the quotient is a whole number, then 3 and 10,812,108.3333 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 32,436,325
-1 -32,436,325

Let's try dividing by 4:

32,436,325 ÷ 4 = 8,109,081.25

If the quotient is a whole number, then 4 and 8,109,081.25 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 32,436,325
-1 32,436,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15192325951154374755752,1852,96910,92514,84556,41168,28774,225282,055341,4351,297,4531,410,2751,707,1756,487,26532,436,325
-1-5-19-23-25-95-115-437-475-575-2,185-2,969-10,925-14,845-56,411-68,287-74,225-282,055-341,435-1,297,453-1,410,275-1,707,175-6,487,265-32,436,325

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