Q: What are the factor combinations of the number 156,871,321?

 A:
Positive:   1 x 15687132161 x 257166167 x 2341363131 x 1197491293 x 5353974087 x 383837991 x 196318777 x 17873
Negative: -1 x -156871321-61 x -2571661-67 x -2341363-131 x -1197491-293 x -535397-4087 x -38383-7991 x -19631-8777 x -17873


How do I find the factor combinations of the number 156,871,321?

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 156,871,321, 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.

1 156,871,321
-1 -156,871,321

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 156,871,321.

Example:
1 x 156,871,321 = 156,871,321
and
-1 x -156,871,321 = 156,871,321
Notice both answers equal 156,871,321

With that explanation out of the way, let's continue. Next, we take the number 156,871,321 and divide it by 2:

156,871,321 ÷ 2 = 78,435,660.5

If the quotient is a whole number, then 2 and 78,435,660.5 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:

1 156,871,321
-1 -156,871,321

Now, we try dividing 156,871,321 by 3:

156,871,321 ÷ 3 = 52,290,440.3333

If the quotient is a whole number, then 3 and 52,290,440.3333 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:

1 156,871,321
-1 -156,871,321

Let's try dividing by 4:

156,871,321 ÷ 4 = 39,217,830.25

If the quotient is a whole number, then 4 and 39,217,830.25 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:

1 156,871,321
-1 156,871,321
Keep dividing by the next highest number until you cannot divide anymore.

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

161671312934,0877,9918,77717,87319,63138,383535,3971,197,4912,341,3632,571,661156,871,321
-1-61-67-131-293-4,087-7,991-8,777-17,873-19,631-38,383-535,397-1,197,491-2,341,363-2,571,661-156,871,321

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