Q: What are the factor combinations of the number 33,506,225?

 A:
Positive:   1 x 335062255 x 670124525 x 134024941 x 81722597 x 345425205 x 163445337 x 99425485 x 690851025 x 326891685 x 198852425 x 138173977 x 8425
Negative: -1 x -33506225-5 x -6701245-25 x -1340249-41 x -817225-97 x -345425-205 x -163445-337 x -99425-485 x -69085-1025 x -32689-1685 x -19885-2425 x -13817-3977 x -8425


How do I find the factor combinations of the number 33,506,225?

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 33,506,225, 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 33,506,225
-1 -33,506,225

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 33,506,225.

Example:
1 x 33,506,225 = 33,506,225
and
-1 x -33,506,225 = 33,506,225
Notice both answers equal 33,506,225

With that explanation out of the way, let's continue. Next, we take the number 33,506,225 and divide it by 2:

33,506,225 ÷ 2 = 16,753,112.5

If the quotient is a whole number, then 2 and 16,753,112.5 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 33,506,225
-1 -33,506,225

Now, we try dividing 33,506,225 by 3:

33,506,225 ÷ 3 = 11,168,741.6667

If the quotient is a whole number, then 3 and 11,168,741.6667 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 33,506,225
-1 -33,506,225

Let's try dividing by 4:

33,506,225 ÷ 4 = 8,376,556.25

If the quotient is a whole number, then 4 and 8,376,556.25 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 33,506,225
-1 33,506,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152541972053374851,0251,6852,4253,9778,42513,81719,88532,68969,08599,425163,445345,425817,2251,340,2496,701,24533,506,225
-1-5-25-41-97-205-337-485-1,025-1,685-2,425-3,977-8,425-13,817-19,885-32,689-69,085-99,425-163,445-345,425-817,225-1,340,249-6,701,245-33,506,225

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