Q: What are the factor combinations of the number 143,424,103?

 A:
Positive:   1 x 14342410319 x 754863759 x 243091797 x 14785991121 x 1279431319 x 1087371843 x 778215723 x 25061
Negative: -1 x -143424103-19 x -7548637-59 x -2430917-97 x -1478599-1121 x -127943-1319 x -108737-1843 x -77821-5723 x -25061


How do I find the factor combinations of the number 143,424,103?

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 143,424,103, 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.

1 143,424,103
-1 -143,424,103

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 143,424,103.

Example:
1 x 143,424,103 = 143,424,103
and
-1 x -143,424,103 = 143,424,103
Notice both answers equal 143,424,103

With that explanation out of the way, let's continue. Next, we take the number 143,424,103 and divide it by 2:

143,424,103 ÷ 2 = 71,712,051.5

If the quotient is a whole number, then 2 and 71,712,051.5 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:

1 143,424,103
-1 -143,424,103

Now, we try dividing 143,424,103 by 3:

143,424,103 ÷ 3 = 47,808,034.3333

If the quotient is a whole number, then 3 and 47,808,034.3333 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:

1 143,424,103
-1 -143,424,103

Let's try dividing by 4:

143,424,103 ÷ 4 = 35,856,025.75

If the quotient is a whole number, then 4 and 35,856,025.75 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:

1 143,424,103
-1 143,424,103
Keep dividing by the next highest number until you cannot divide anymore.

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

11959971,1211,3191,8435,72325,06177,821108,737127,9431,478,5992,430,9177,548,637143,424,103
-1-19-59-97-1,121-1,319-1,843-5,723-25,061-77,821-108,737-127,943-1,478,599-2,430,917-7,548,637-143,424,103

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