Q: What are the factor combinations of the number 160,151,047?

 A:
Positive:   1 x 1601510477 x 2287872123 x 696308961 x 2625427161 x 994727427 x 375061529 x 302743709 x 2258831403 x 1141493703 x 432494963 x 322699821 x 16307
Negative: -1 x -160151047-7 x -22878721-23 x -6963089-61 x -2625427-161 x -994727-427 x -375061-529 x -302743-709 x -225883-1403 x -114149-3703 x -43249-4963 x -32269-9821 x -16307


How do I find the factor combinations of the number 160,151,047?

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 160,151,047, 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.

1 160,151,047
-1 -160,151,047

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 160,151,047.

Example:
1 x 160,151,047 = 160,151,047
and
-1 x -160,151,047 = 160,151,047
Notice both answers equal 160,151,047

With that explanation out of the way, let's continue. Next, we take the number 160,151,047 and divide it by 2:

160,151,047 ÷ 2 = 80,075,523.5

If the quotient is a whole number, then 2 and 80,075,523.5 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:

1 160,151,047
-1 -160,151,047

Now, we try dividing 160,151,047 by 3:

160,151,047 ÷ 3 = 53,383,682.3333

If the quotient is a whole number, then 3 and 53,383,682.3333 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:

1 160,151,047
-1 -160,151,047

Let's try dividing by 4:

160,151,047 ÷ 4 = 40,037,761.75

If the quotient is a whole number, then 4 and 40,037,761.75 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:

1 160,151,047
-1 160,151,047
Keep dividing by the next highest number until you cannot divide anymore.

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

1723611614275297091,4033,7034,9639,82116,30732,26943,249114,149225,883302,743375,061994,7272,625,4276,963,08922,878,721160,151,047
-1-7-23-61-161-427-529-709-1,403-3,703-4,963-9,821-16,307-32,269-43,249-114,149-225,883-302,743-375,061-994,727-2,625,427-6,963,089-22,878,721-160,151,047

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