Q: What are the factor combinations of the number 15,146,443?

 A:
Positive:   1 x 1514644313 x 116511123 x 658541179 x 84617283 x 53521299 x 506572327 x 65093679 x 4117
Negative: -1 x -15146443-13 x -1165111-23 x -658541-179 x -84617-283 x -53521-299 x -50657-2327 x -6509-3679 x -4117


How do I find the factor combinations of the number 15,146,443?

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 15,146,443, 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 15,146,443
-1 -15,146,443

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 15,146,443.

Example:
1 x 15,146,443 = 15,146,443
and
-1 x -15,146,443 = 15,146,443
Notice both answers equal 15,146,443

With that explanation out of the way, let's continue. Next, we take the number 15,146,443 and divide it by 2:

15,146,443 ÷ 2 = 7,573,221.5

If the quotient is a whole number, then 2 and 7,573,221.5 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 15,146,443
-1 -15,146,443

Now, we try dividing 15,146,443 by 3:

15,146,443 ÷ 3 = 5,048,814.3333

If the quotient is a whole number, then 3 and 5,048,814.3333 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 15,146,443
-1 -15,146,443

Let's try dividing by 4:

15,146,443 ÷ 4 = 3,786,610.75

If the quotient is a whole number, then 4 and 3,786,610.75 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 15,146,443
-1 15,146,443
Keep dividing by the next highest number until you cannot divide anymore.

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

113231792832992,3273,6794,1176,50950,65753,52184,617658,5411,165,11115,146,443
-1-13-23-179-283-299-2,327-3,679-4,117-6,509-50,657-53,521-84,617-658,541-1,165,111-15,146,443

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