Q: What are the factor combinations of the number 14,709,035?

 A:
Positive:   1 x 147090355 x 294180711 x 133718531 x 47448555 x 267437155 x 94897341 x 431351705 x 8627
Negative: -1 x -14709035-5 x -2941807-11 x -1337185-31 x -474485-55 x -267437-155 x -94897-341 x -43135-1705 x -8627


How do I find the factor combinations of the number 14,709,035?

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 14,709,035, 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 14,709,035
-1 -14,709,035

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 14,709,035.

Example:
1 x 14,709,035 = 14,709,035
and
-1 x -14,709,035 = 14,709,035
Notice both answers equal 14,709,035

With that explanation out of the way, let's continue. Next, we take the number 14,709,035 and divide it by 2:

14,709,035 ÷ 2 = 7,354,517.5

If the quotient is a whole number, then 2 and 7,354,517.5 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 14,709,035
-1 -14,709,035

Now, we try dividing 14,709,035 by 3:

14,709,035 ÷ 3 = 4,903,011.6667

If the quotient is a whole number, then 3 and 4,903,011.6667 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 14,709,035
-1 -14,709,035

Let's try dividing by 4:

14,709,035 ÷ 4 = 3,677,258.75

If the quotient is a whole number, then 4 and 3,677,258.75 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 14,709,035
-1 14,709,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,7058,62743,13594,897267,437474,4851,337,1852,941,80714,709,035
-1-5-11-31-55-155-341-1,705-8,627-43,135-94,897-267,437-474,485-1,337,185-2,941,807-14,709,035

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