Q: What are the factor combinations of the number 15,353,443?

 A:
Positive:   1 x 153534437 x 219334923 x 66754147 x 326669161 x 95363329 x 466671081 x 142032029 x 7567
Negative: -1 x -15353443-7 x -2193349-23 x -667541-47 x -326669-161 x -95363-329 x -46667-1081 x -14203-2029 x -7567


How do I find the factor combinations of the number 15,353,443?

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 15,353,443, 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 15,353,443
-1 -15,353,443

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 15,353,443.

Example:
1 x 15,353,443 = 15,353,443
and
-1 x -15,353,443 = 15,353,443
Notice both answers equal 15,353,443

With that explanation out of the way, let's continue. Next, we take the number 15,353,443 and divide it by 2:

15,353,443 ÷ 2 = 7,676,721.5

If the quotient is a whole number, then 2 and 7,676,721.5 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 15,353,443
-1 -15,353,443

Now, we try dividing 15,353,443 by 3:

15,353,443 ÷ 3 = 5,117,814.3333

If the quotient is a whole number, then 3 and 5,117,814.3333 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 15,353,443
-1 -15,353,443

Let's try dividing by 4:

15,353,443 ÷ 4 = 3,838,360.75

If the quotient is a whole number, then 4 and 3,838,360.75 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 15,353,443
-1 15,353,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1723471613291,0812,0297,56714,20346,66795,363326,669667,5412,193,34915,353,443
-1-7-23-47-161-329-1,081-2,029-7,567-14,203-46,667-95,363-326,669-667,541-2,193,349-15,353,443

More Examples

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