Q: What are the factor combinations of the number 613,025?

 A:
Positive:   1 x 6130255 x 1226057 x 8757525 x 2452131 x 1977535 x 17515113 x 5425155 x 3955175 x 3503217 x 2825565 x 1085775 x 791
Negative: -1 x -613025-5 x -122605-7 x -87575-25 x -24521-31 x -19775-35 x -17515-113 x -5425-155 x -3955-175 x -3503-217 x -2825-565 x -1085-775 x -791


How do I find the factor combinations of the number 613,025?

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 613,025, 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.

1 613,025
-1 -613,025

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 613,025.

Example:
1 x 613,025 = 613,025
and
-1 x -613,025 = 613,025
Notice both answers equal 613,025

With that explanation out of the way, let's continue. Next, we take the number 613,025 and divide it by 2:

613,025 ÷ 2 = 306,512.5

If the quotient is a whole number, then 2 and 306,512.5 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:

1 613,025
-1 -613,025

Now, we try dividing 613,025 by 3:

613,025 ÷ 3 = 204,341.6667

If the quotient is a whole number, then 3 and 204,341.6667 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:

1 613,025
-1 -613,025

Let's try dividing by 4:

613,025 ÷ 4 = 153,256.25

If the quotient is a whole number, then 4 and 153,256.25 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:

1 613,025
-1 613,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572531351131551752175657757911,0852,8253,5033,9555,42517,51519,77524,52187,575122,605613,025
-1-5-7-25-31-35-113-155-175-217-565-775-791-1,085-2,825-3,503-3,955-5,425-17,515-19,775-24,521-87,575-122,605-613,025

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