Q: What are the factor combinations of the number 77,142,745?

 A:
Positive:   1 x 771427455 x 1542854947 x 1641335235 x 328267463 x 166615709 x 1088052315 x 333233545 x 21761
Negative: -1 x -77142745-5 x -15428549-47 x -1641335-235 x -328267-463 x -166615-709 x -108805-2315 x -33323-3545 x -21761


How do I find the factor combinations of the number 77,142,745?

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 77,142,745, 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 77,142,745
-1 -77,142,745

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 77,142,745.

Example:
1 x 77,142,745 = 77,142,745
and
-1 x -77,142,745 = 77,142,745
Notice both answers equal 77,142,745

With that explanation out of the way, let's continue. Next, we take the number 77,142,745 and divide it by 2:

77,142,745 ÷ 2 = 38,571,372.5

If the quotient is a whole number, then 2 and 38,571,372.5 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 77,142,745
-1 -77,142,745

Now, we try dividing 77,142,745 by 3:

77,142,745 ÷ 3 = 25,714,248.3333

If the quotient is a whole number, then 3 and 25,714,248.3333 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 77,142,745
-1 -77,142,745

Let's try dividing by 4:

77,142,745 ÷ 4 = 19,285,686.25

If the quotient is a whole number, then 4 and 19,285,686.25 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 77,142,745
-1 77,142,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15472354637092,3153,54521,76133,323108,805166,615328,2671,641,33515,428,54977,142,745
-1-5-47-235-463-709-2,315-3,545-21,761-33,323-108,805-166,615-328,267-1,641,335-15,428,549-77,142,745

More Examples

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