Q: What are the factor combinations of the number 3,426,325?

 A:
Positive:   1 x 34263255 x 6852657 x 48947525 x 13705335 x 9789549 x 69925175 x 19579245 x 139851225 x 2797
Negative: -1 x -3426325-5 x -685265-7 x -489475-25 x -137053-35 x -97895-49 x -69925-175 x -19579-245 x -13985-1225 x -2797


How do I find the factor combinations of the number 3,426,325?

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 3,426,325, 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 3,426,325
-1 -3,426,325

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 3,426,325.

Example:
1 x 3,426,325 = 3,426,325
and
-1 x -3,426,325 = 3,426,325
Notice both answers equal 3,426,325

With that explanation out of the way, let's continue. Next, we take the number 3,426,325 and divide it by 2:

3,426,325 ÷ 2 = 1,713,162.5

If the quotient is a whole number, then 2 and 1,713,162.5 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 3,426,325
-1 -3,426,325

Now, we try dividing 3,426,325 by 3:

3,426,325 ÷ 3 = 1,142,108.3333

If the quotient is a whole number, then 3 and 1,142,108.3333 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 3,426,325
-1 -3,426,325

Let's try dividing by 4:

3,426,325 ÷ 4 = 856,581.25

If the quotient is a whole number, then 4 and 856,581.25 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 3,426,325
-1 3,426,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,2252,79713,98519,57969,92597,895137,053489,475685,2653,426,325
-1-5-7-25-35-49-175-245-1,225-2,797-13,985-19,579-69,925-97,895-137,053-489,475-685,265-3,426,325

More Examples

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