Q: What are the factor combinations of the number 141,000,599?

 A:
Positive:   1 x 14100059937 x 381082741 x 34390391517 x 929471681 x 838792267 x 62197
Negative: -1 x -141000599-37 x -3810827-41 x -3439039-1517 x -92947-1681 x -83879-2267 x -62197


How do I find the factor combinations of the number 141,000,599?

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 141,000,599, 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.

1 141,000,599
-1 -141,000,599

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 141,000,599.

Example:
1 x 141,000,599 = 141,000,599
and
-1 x -141,000,599 = 141,000,599
Notice both answers equal 141,000,599

With that explanation out of the way, let's continue. Next, we take the number 141,000,599 and divide it by 2:

141,000,599 ÷ 2 = 70,500,299.5

If the quotient is a whole number, then 2 and 70,500,299.5 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:

1 141,000,599
-1 -141,000,599

Now, we try dividing 141,000,599 by 3:

141,000,599 ÷ 3 = 47,000,199.6667

If the quotient is a whole number, then 3 and 47,000,199.6667 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:

1 141,000,599
-1 -141,000,599

Let's try dividing by 4:

141,000,599 ÷ 4 = 35,250,149.75

If the quotient is a whole number, then 4 and 35,250,149.75 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:

1 141,000,599
-1 141,000,599
Keep dividing by the next highest number until you cannot divide anymore.

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

137411,5171,6812,26762,19783,87992,9473,439,0393,810,827141,000,599
-1-37-41-1,517-1,681-2,267-62,197-83,879-92,947-3,439,039-3,810,827-141,000,599

More Examples

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