Q: What are the factor combinations of the number 4,012,697?

 A:
Positive:   1 x 401269713 x 30866917 x 23604167 x 59891221 x 18157271 x 14807871 x 46071139 x 3523
Negative: -1 x -4012697-13 x -308669-17 x -236041-67 x -59891-221 x -18157-271 x -14807-871 x -4607-1139 x -3523


How do I find the factor combinations of the number 4,012,697?

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 4,012,697, 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 4,012,697
-1 -4,012,697

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 4,012,697.

Example:
1 x 4,012,697 = 4,012,697
and
-1 x -4,012,697 = 4,012,697
Notice both answers equal 4,012,697

With that explanation out of the way, let's continue. Next, we take the number 4,012,697 and divide it by 2:

4,012,697 ÷ 2 = 2,006,348.5

If the quotient is a whole number, then 2 and 2,006,348.5 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 4,012,697
-1 -4,012,697

Now, we try dividing 4,012,697 by 3:

4,012,697 ÷ 3 = 1,337,565.6667

If the quotient is a whole number, then 3 and 1,337,565.6667 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 4,012,697
-1 -4,012,697

Let's try dividing by 4:

4,012,697 ÷ 4 = 1,003,174.25

If the quotient is a whole number, then 4 and 1,003,174.25 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 4,012,697
-1 4,012,697
Keep dividing by the next highest number until you cannot divide anymore.

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

11317672212718711,1393,5234,60714,80718,15759,891236,041308,6694,012,697
-1-13-17-67-221-271-871-1,139-3,523-4,607-14,807-18,157-59,891-236,041-308,669-4,012,697

More Examples

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