Q: What are the factor combinations of the number 144,362,315?

 A:
Positive:   1 x 1443623155 x 2887246383 x 1739305167 x 864445415 x 347861835 x 1728892083 x 6930510415 x 13861
Negative: -1 x -144362315-5 x -28872463-83 x -1739305-167 x -864445-415 x -347861-835 x -172889-2083 x -69305-10415 x -13861


How do I find the factor combinations of the number 144,362,315?

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 144,362,315, 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.

1 144,362,315
-1 -144,362,315

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 144,362,315.

Example:
1 x 144,362,315 = 144,362,315
and
-1 x -144,362,315 = 144,362,315
Notice both answers equal 144,362,315

With that explanation out of the way, let's continue. Next, we take the number 144,362,315 and divide it by 2:

144,362,315 ÷ 2 = 72,181,157.5

If the quotient is a whole number, then 2 and 72,181,157.5 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:

1 144,362,315
-1 -144,362,315

Now, we try dividing 144,362,315 by 3:

144,362,315 ÷ 3 = 48,120,771.6667

If the quotient is a whole number, then 3 and 48,120,771.6667 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:

1 144,362,315
-1 -144,362,315

Let's try dividing by 4:

144,362,315 ÷ 4 = 36,090,578.75

If the quotient is a whole number, then 4 and 36,090,578.75 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:

1 144,362,315
-1 144,362,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15831674158352,08310,41513,86169,305172,889347,861864,4451,739,30528,872,463144,362,315
-1-5-83-167-415-835-2,083-10,415-13,861-69,305-172,889-347,861-864,445-1,739,305-28,872,463-144,362,315

More Examples

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