Q: What are the factor combinations of the number 155,352,725?

 A:
Positive:   1 x 1553527255 x 3107054511 x 1412297525 x 621410955 x 2824595275 x 564919
Negative: -1 x -155352725-5 x -31070545-11 x -14122975-25 x -6214109-55 x -2824595-275 x -564919


How do I find the factor combinations of the number 155,352,725?

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 155,352,725, 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.

1 155,352,725
-1 -155,352,725

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 155,352,725.

Example:
1 x 155,352,725 = 155,352,725
and
-1 x -155,352,725 = 155,352,725
Notice both answers equal 155,352,725

With that explanation out of the way, let's continue. Next, we take the number 155,352,725 and divide it by 2:

155,352,725 ÷ 2 = 77,676,362.5

If the quotient is a whole number, then 2 and 77,676,362.5 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:

1 155,352,725
-1 -155,352,725

Now, we try dividing 155,352,725 by 3:

155,352,725 ÷ 3 = 51,784,241.6667

If the quotient is a whole number, then 3 and 51,784,241.6667 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:

1 155,352,725
-1 -155,352,725

Let's try dividing by 4:

155,352,725 ÷ 4 = 38,838,181.25

If the quotient is a whole number, then 4 and 38,838,181.25 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:

1 155,352,725
-1 155,352,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555275564,9192,824,5956,214,10914,122,97531,070,545155,352,725
-1-5-11-25-55-275-564,919-2,824,595-6,214,109-14,122,975-31,070,545-155,352,725

More Examples

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