Q: What are the factor combinations of the number 162,744,025?

 A:
Positive:   1 x 1627440255 x 3254880519 x 856547525 x 650976195 x 1713095151 x 1077775475 x 342619755 x 2155552269 x 717252869 x 567253775 x 4311111345 x 14345
Negative: -1 x -162744025-5 x -32548805-19 x -8565475-25 x -6509761-95 x -1713095-151 x -1077775-475 x -342619-755 x -215555-2269 x -71725-2869 x -56725-3775 x -43111-11345 x -14345


How do I find the factor combinations of the number 162,744,025?

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 162,744,025, 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.

1 162,744,025
-1 -162,744,025

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 162,744,025.

Example:
1 x 162,744,025 = 162,744,025
and
-1 x -162,744,025 = 162,744,025
Notice both answers equal 162,744,025

With that explanation out of the way, let's continue. Next, we take the number 162,744,025 and divide it by 2:

162,744,025 ÷ 2 = 81,372,012.5

If the quotient is a whole number, then 2 and 81,372,012.5 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:

1 162,744,025
-1 -162,744,025

Now, we try dividing 162,744,025 by 3:

162,744,025 ÷ 3 = 54,248,008.3333

If the quotient is a whole number, then 3 and 54,248,008.3333 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:

1 162,744,025
-1 -162,744,025

Let's try dividing by 4:

162,744,025 ÷ 4 = 40,686,006.25

If the quotient is a whole number, then 4 and 40,686,006.25 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:

1 162,744,025
-1 162,744,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951514757552,2692,8693,77511,34514,34543,11156,72571,725215,555342,6191,077,7751,713,0956,509,7618,565,47532,548,805162,744,025
-1-5-19-25-95-151-475-755-2,269-2,869-3,775-11,345-14,345-43,111-56,725-71,725-215,555-342,619-1,077,775-1,713,095-6,509,761-8,565,475-32,548,805-162,744,025

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