Q: What are the factor combinations of the number 3,146,689?

 A:
Positive:   1 x 31466897 x 44952713 x 24205391 x 34579151 x 20839229 x 137411057 x 29771603 x 1963
Negative: -1 x -3146689-7 x -449527-13 x -242053-91 x -34579-151 x -20839-229 x -13741-1057 x -2977-1603 x -1963


How do I find the factor combinations of the number 3,146,689?

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 3,146,689, 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 3,146,689
-1 -3,146,689

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 3,146,689.

Example:
1 x 3,146,689 = 3,146,689
and
-1 x -3,146,689 = 3,146,689
Notice both answers equal 3,146,689

With that explanation out of the way, let's continue. Next, we take the number 3,146,689 and divide it by 2:

3,146,689 ÷ 2 = 1,573,344.5

If the quotient is a whole number, then 2 and 1,573,344.5 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 3,146,689
-1 -3,146,689

Now, we try dividing 3,146,689 by 3:

3,146,689 ÷ 3 = 1,048,896.3333

If the quotient is a whole number, then 3 and 1,048,896.3333 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 3,146,689
-1 -3,146,689

Let's try dividing by 4:

3,146,689 ÷ 4 = 786,672.25

If the quotient is a whole number, then 4 and 786,672.25 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 3,146,689
-1 3,146,689
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911512291,0571,6031,9632,97713,74120,83934,579242,053449,5273,146,689
-1-7-13-91-151-229-1,057-1,603-1,963-2,977-13,741-20,839-34,579-242,053-449,527-3,146,689

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