Q: What are the factor combinations of the number 160,467,097?

 A:
Positive:   1 x 1604670977 x 2292387117 x 9439241119 x 1348463421 x 3811572947 x 544513203 x 500997157 x 22421
Negative: -1 x -160467097-7 x -22923871-17 x -9439241-119 x -1348463-421 x -381157-2947 x -54451-3203 x -50099-7157 x -22421


How do I find the factor combinations of the number 160,467,097?

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 160,467,097, 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.

1 160,467,097
-1 -160,467,097

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 160,467,097.

Example:
1 x 160,467,097 = 160,467,097
and
-1 x -160,467,097 = 160,467,097
Notice both answers equal 160,467,097

With that explanation out of the way, let's continue. Next, we take the number 160,467,097 and divide it by 2:

160,467,097 ÷ 2 = 80,233,548.5

If the quotient is a whole number, then 2 and 80,233,548.5 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:

1 160,467,097
-1 -160,467,097

Now, we try dividing 160,467,097 by 3:

160,467,097 ÷ 3 = 53,489,032.3333

If the quotient is a whole number, then 3 and 53,489,032.3333 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:

1 160,467,097
-1 -160,467,097

Let's try dividing by 4:

160,467,097 ÷ 4 = 40,116,774.25

If the quotient is a whole number, then 4 and 40,116,774.25 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:

1 160,467,097
-1 160,467,097
Keep dividing by the next highest number until you cannot divide anymore.

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

17171194212,9473,2037,15722,42150,09954,451381,1571,348,4639,439,24122,923,871160,467,097
-1-7-17-119-421-2,947-3,203-7,157-22,421-50,099-54,451-381,157-1,348,463-9,439,241-22,923,871-160,467,097

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