Q: What are the factor combinations of the number 142,001,119?

 A:
Positive:   1 x 14200111913 x 1092316317 x 8353007221 x 642539409 x 3471911571 x 903895317 x 267076953 x 20423
Negative: -1 x -142001119-13 x -10923163-17 x -8353007-221 x -642539-409 x -347191-1571 x -90389-5317 x -26707-6953 x -20423


How do I find the factor combinations of the number 142,001,119?

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 142,001,119, 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.

1 142,001,119
-1 -142,001,119

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 142,001,119.

Example:
1 x 142,001,119 = 142,001,119
and
-1 x -142,001,119 = 142,001,119
Notice both answers equal 142,001,119

With that explanation out of the way, let's continue. Next, we take the number 142,001,119 and divide it by 2:

142,001,119 ÷ 2 = 71,000,559.5

If the quotient is a whole number, then 2 and 71,000,559.5 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:

1 142,001,119
-1 -142,001,119

Now, we try dividing 142,001,119 by 3:

142,001,119 ÷ 3 = 47,333,706.3333

If the quotient is a whole number, then 3 and 47,333,706.3333 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:

1 142,001,119
-1 -142,001,119

Let's try dividing by 4:

142,001,119 ÷ 4 = 35,500,279.75

If the quotient is a whole number, then 4 and 35,500,279.75 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:

1 142,001,119
-1 142,001,119
Keep dividing by the next highest number until you cannot divide anymore.

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

113172214091,5715,3176,95320,42326,70790,389347,191642,5398,353,00710,923,163142,001,119
-1-13-17-221-409-1,571-5,317-6,953-20,423-26,707-90,389-347,191-642,539-8,353,007-10,923,163-142,001,119

More Examples

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