Q: What are the factor combinations of the number 13,024,505?

 A:
Positive:   1 x 130245055 x 260490113 x 100188565 x 200377151 x 86255755 x 172511327 x 98151963 x 6635
Negative: -1 x -13024505-5 x -2604901-13 x -1001885-65 x -200377-151 x -86255-755 x -17251-1327 x -9815-1963 x -6635


How do I find the factor combinations of the number 13,024,505?

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 13,024,505, 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 13,024,505
-1 -13,024,505

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 13,024,505.

Example:
1 x 13,024,505 = 13,024,505
and
-1 x -13,024,505 = 13,024,505
Notice both answers equal 13,024,505

With that explanation out of the way, let's continue. Next, we take the number 13,024,505 and divide it by 2:

13,024,505 ÷ 2 = 6,512,252.5

If the quotient is a whole number, then 2 and 6,512,252.5 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 13,024,505
-1 -13,024,505

Now, we try dividing 13,024,505 by 3:

13,024,505 ÷ 3 = 4,341,501.6667

If the quotient is a whole number, then 3 and 4,341,501.6667 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 13,024,505
-1 -13,024,505

Let's try dividing by 4:

13,024,505 ÷ 4 = 3,256,126.25

If the quotient is a whole number, then 4 and 3,256,126.25 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 13,024,505
-1 13,024,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651517551,3271,9636,6359,81517,25186,255200,3771,001,8852,604,90113,024,505
-1-5-13-65-151-755-1,327-1,963-6,635-9,815-17,251-86,255-200,377-1,001,885-2,604,901-13,024,505

More Examples

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