Q: What are the factor combinations of the number 33,358,625?

 A:
Positive:   1 x 333586255 x 667172523 x 145037525 x 133434541 x 813625115 x 290075125 x 266869205 x 162725283 x 117875575 x 58015943 x 353751025 x 325451415 x 235752875 x 116034715 x 70755125 x 6509
Negative: -1 x -33358625-5 x -6671725-23 x -1450375-25 x -1334345-41 x -813625-115 x -290075-125 x -266869-205 x -162725-283 x -117875-575 x -58015-943 x -35375-1025 x -32545-1415 x -23575-2875 x -11603-4715 x -7075-5125 x -6509


How do I find the factor combinations of the number 33,358,625?

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 33,358,625, 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 33,358,625
-1 -33,358,625

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 33,358,625.

Example:
1 x 33,358,625 = 33,358,625
and
-1 x -33,358,625 = 33,358,625
Notice both answers equal 33,358,625

With that explanation out of the way, let's continue. Next, we take the number 33,358,625 and divide it by 2:

33,358,625 ÷ 2 = 16,679,312.5

If the quotient is a whole number, then 2 and 16,679,312.5 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 33,358,625
-1 -33,358,625

Now, we try dividing 33,358,625 by 3:

33,358,625 ÷ 3 = 11,119,541.6667

If the quotient is a whole number, then 3 and 11,119,541.6667 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 33,358,625
-1 -33,358,625

Let's try dividing by 4:

33,358,625 ÷ 4 = 8,339,656.25

If the quotient is a whole number, then 4 and 8,339,656.25 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 33,358,625
-1 33,358,625
Keep dividing by the next highest number until you cannot divide anymore.

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

152325411151252052835759431,0251,4152,8754,7155,1256,5097,07511,60323,57532,54535,37558,015117,875162,725266,869290,075813,6251,334,3451,450,3756,671,72533,358,625
-1-5-23-25-41-115-125-205-283-575-943-1,025-1,415-2,875-4,715-5,125-6,509-7,075-11,603-23,575-32,545-35,375-58,015-117,875-162,725-266,869-290,075-813,625-1,334,345-1,450,375-6,671,725-33,358,625

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