Q: What are the factor combinations of the number 157,147,045?

 A:
Positive:   1 x 1571470455 x 3142940911 x 1428609555 x 2857219
Negative: -1 x -157147045-5 x -31429409-11 x -14286095-55 x -2857219


How do I find the factor combinations of the number 157,147,045?

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 157,147,045, 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.

1 157,147,045
-1 -157,147,045

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 157,147,045.

Example:
1 x 157,147,045 = 157,147,045
and
-1 x -157,147,045 = 157,147,045
Notice both answers equal 157,147,045

With that explanation out of the way, let's continue. Next, we take the number 157,147,045 and divide it by 2:

157,147,045 ÷ 2 = 78,573,522.5

If the quotient is a whole number, then 2 and 78,573,522.5 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:

1 157,147,045
-1 -157,147,045

Now, we try dividing 157,147,045 by 3:

157,147,045 ÷ 3 = 52,382,348.3333

If the quotient is a whole number, then 3 and 52,382,348.3333 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:

1 157,147,045
-1 -157,147,045

Let's try dividing by 4:

157,147,045 ÷ 4 = 39,286,761.25

If the quotient is a whole number, then 4 and 39,286,761.25 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:

1 157,147,045
-1 157,147,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552,857,21914,286,09531,429,409157,147,045
-1-5-11-55-2,857,219-14,286,095-31,429,409-157,147,045

More Examples

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