Q: What are the factor combinations of the number 142,003,415?

 A:
Positive:   1 x 1420034155 x 2840068343 x 3302405199 x 713585215 x 660481995 x 1427173319 x 427858557 x 16595
Negative: -1 x -142003415-5 x -28400683-43 x -3302405-199 x -713585-215 x -660481-995 x -142717-3319 x -42785-8557 x -16595


How do I find the factor combinations of the number 142,003,415?

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 142,003,415, 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.

1 142,003,415
-1 -142,003,415

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 142,003,415.

Example:
1 x 142,003,415 = 142,003,415
and
-1 x -142,003,415 = 142,003,415
Notice both answers equal 142,003,415

With that explanation out of the way, let's continue. Next, we take the number 142,003,415 and divide it by 2:

142,003,415 ÷ 2 = 71,001,707.5

If the quotient is a whole number, then 2 and 71,001,707.5 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:

1 142,003,415
-1 -142,003,415

Now, we try dividing 142,003,415 by 3:

142,003,415 ÷ 3 = 47,334,471.6667

If the quotient is a whole number, then 3 and 47,334,471.6667 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:

1 142,003,415
-1 -142,003,415

Let's try dividing by 4:

142,003,415 ÷ 4 = 35,500,853.75

If the quotient is a whole number, then 4 and 35,500,853.75 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:

1 142,003,415
-1 142,003,415
Keep dividing by the next highest number until you cannot divide anymore.

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

15431992159953,3198,55716,59542,785142,717660,481713,5853,302,40528,400,683142,003,415
-1-5-43-199-215-995-3,319-8,557-16,595-42,785-142,717-660,481-713,585-3,302,405-28,400,683-142,003,415

More Examples

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