Q: What are the factor combinations of the number 14,733,745?

 A:
Positive:   1 x 147337455 x 294674913 x 113336565 x 22667383 x 177515415 x 355031079 x 136552731 x 5395
Negative: -1 x -14733745-5 x -2946749-13 x -1133365-65 x -226673-83 x -177515-415 x -35503-1079 x -13655-2731 x -5395


How do I find the factor combinations of the number 14,733,745?

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 14,733,745, 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 14,733,745
-1 -14,733,745

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 14,733,745.

Example:
1 x 14,733,745 = 14,733,745
and
-1 x -14,733,745 = 14,733,745
Notice both answers equal 14,733,745

With that explanation out of the way, let's continue. Next, we take the number 14,733,745 and divide it by 2:

14,733,745 ÷ 2 = 7,366,872.5

If the quotient is a whole number, then 2 and 7,366,872.5 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 14,733,745
-1 -14,733,745

Now, we try dividing 14,733,745 by 3:

14,733,745 ÷ 3 = 4,911,248.3333

If the quotient is a whole number, then 3 and 4,911,248.3333 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 14,733,745
-1 -14,733,745

Let's try dividing by 4:

14,733,745 ÷ 4 = 3,683,436.25

If the quotient is a whole number, then 4 and 3,683,436.25 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 14,733,745
-1 14,733,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151365834151,0792,7315,39513,65535,503177,515226,6731,133,3652,946,74914,733,745
-1-5-13-65-83-415-1,079-2,731-5,395-13,655-35,503-177,515-226,673-1,133,365-2,946,749-14,733,745

More Examples

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