Q: What are the factor combinations of the number 14,676,949?

 A:
Positive:   1 x 146769497 x 209670719 x 772471133 x 110353211 x 69559523 x 280631477 x 99373661 x 4009
Negative: -1 x -14676949-7 x -2096707-19 x -772471-133 x -110353-211 x -69559-523 x -28063-1477 x -9937-3661 x -4009


How do I find the factor combinations of the number 14,676,949?

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 14,676,949, 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 14,676,949
-1 -14,676,949

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 14,676,949.

Example:
1 x 14,676,949 = 14,676,949
and
-1 x -14,676,949 = 14,676,949
Notice both answers equal 14,676,949

With that explanation out of the way, let's continue. Next, we take the number 14,676,949 and divide it by 2:

14,676,949 ÷ 2 = 7,338,474.5

If the quotient is a whole number, then 2 and 7,338,474.5 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 14,676,949
-1 -14,676,949

Now, we try dividing 14,676,949 by 3:

14,676,949 ÷ 3 = 4,892,316.3333

If the quotient is a whole number, then 3 and 4,892,316.3333 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 14,676,949
-1 -14,676,949

Let's try dividing by 4:

14,676,949 ÷ 4 = 3,669,237.25

If the quotient is a whole number, then 4 and 3,669,237.25 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 14,676,949
-1 14,676,949
Keep dividing by the next highest number until you cannot divide anymore.

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

17191332115231,4773,6614,0099,93728,06369,559110,353772,4712,096,70714,676,949
-1-7-19-133-211-523-1,477-3,661-4,009-9,937-28,063-69,559-110,353-772,471-2,096,707-14,676,949

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