Q: What are the factor combinations of the number 158,431,525?

 A:
Positive:   1 x 1584315255 x 316863057 x 2263307525 x 633726135 x 4526615175 x 905323347 x 4565751735 x 913152429 x 652252609 x 607258675 x 1826312145 x 13045
Negative: -1 x -158431525-5 x -31686305-7 x -22633075-25 x -6337261-35 x -4526615-175 x -905323-347 x -456575-1735 x -91315-2429 x -65225-2609 x -60725-8675 x -18263-12145 x -13045


How do I find the factor combinations of the number 158,431,525?

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 158,431,525, 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.

1 158,431,525
-1 -158,431,525

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 158,431,525.

Example:
1 x 158,431,525 = 158,431,525
and
-1 x -158,431,525 = 158,431,525
Notice both answers equal 158,431,525

With that explanation out of the way, let's continue. Next, we take the number 158,431,525 and divide it by 2:

158,431,525 ÷ 2 = 79,215,762.5

If the quotient is a whole number, then 2 and 79,215,762.5 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:

1 158,431,525
-1 -158,431,525

Now, we try dividing 158,431,525 by 3:

158,431,525 ÷ 3 = 52,810,508.3333

If the quotient is a whole number, then 3 and 52,810,508.3333 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:

1 158,431,525
-1 -158,431,525

Let's try dividing by 4:

158,431,525 ÷ 4 = 39,607,881.25

If the quotient is a whole number, then 4 and 39,607,881.25 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:

1 158,431,525
-1 158,431,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351753471,7352,4292,6098,67512,14513,04518,26360,72565,22591,315456,575905,3234,526,6156,337,26122,633,07531,686,305158,431,525
-1-5-7-25-35-175-347-1,735-2,429-2,609-8,675-12,145-13,045-18,263-60,725-65,225-91,315-456,575-905,323-4,526,615-6,337,261-22,633,075-31,686,305-158,431,525

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