Q: What are the factor combinations of the number 168,257,915?

 A:
Positive:   1 x 1682579155 x 336515837 x 2403684535 x 480736949 x 3433835245 x 686767359 x 4686851795 x 937371913 x 879552513 x 669559565 x 1759112565 x 13391
Negative: -1 x -168257915-5 x -33651583-7 x -24036845-35 x -4807369-49 x -3433835-245 x -686767-359 x -468685-1795 x -93737-1913 x -87955-2513 x -66955-9565 x -17591-12565 x -13391


How do I find the factor combinations of the number 168,257,915?

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 168,257,915, 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.

1 168,257,915
-1 -168,257,915

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 168,257,915.

Example:
1 x 168,257,915 = 168,257,915
and
-1 x -168,257,915 = 168,257,915
Notice both answers equal 168,257,915

With that explanation out of the way, let's continue. Next, we take the number 168,257,915 and divide it by 2:

168,257,915 ÷ 2 = 84,128,957.5

If the quotient is a whole number, then 2 and 84,128,957.5 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:

1 168,257,915
-1 -168,257,915

Now, we try dividing 168,257,915 by 3:

168,257,915 ÷ 3 = 56,085,971.6667

If the quotient is a whole number, then 3 and 56,085,971.6667 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:

1 168,257,915
-1 -168,257,915

Let's try dividing by 4:

168,257,915 ÷ 4 = 42,064,478.75

If the quotient is a whole number, then 4 and 42,064,478.75 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:

1 168,257,915
-1 168,257,915
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453591,7951,9132,5139,56512,56513,39117,59166,95587,95593,737468,685686,7673,433,8354,807,36924,036,84533,651,583168,257,915
-1-5-7-35-49-245-359-1,795-1,913-2,513-9,565-12,565-13,391-17,591-66,955-87,955-93,737-468,685-686,767-3,433,835-4,807,369-24,036,845-33,651,583-168,257,915

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