Q: What are the factor combinations of the number 24,244,045?

 A:
Positive:   1 x 242440455 x 48488097 x 346343535 x 69268743 x 56381589 x 272405181 x 133945215 x 112763301 x 80545445 x 54481623 x 38915905 x 267891267 x 191351505 x 161093115 x 77833827 x 6335
Negative: -1 x -24244045-5 x -4848809-7 x -3463435-35 x -692687-43 x -563815-89 x -272405-181 x -133945-215 x -112763-301 x -80545-445 x -54481-623 x -38915-905 x -26789-1267 x -19135-1505 x -16109-3115 x -7783-3827 x -6335


How do I find the factor combinations of the number 24,244,045?

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 24,244,045, 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 24,244,045
-1 -24,244,045

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 24,244,045.

Example:
1 x 24,244,045 = 24,244,045
and
-1 x -24,244,045 = 24,244,045
Notice both answers equal 24,244,045

With that explanation out of the way, let's continue. Next, we take the number 24,244,045 and divide it by 2:

24,244,045 ÷ 2 = 12,122,022.5

If the quotient is a whole number, then 2 and 12,122,022.5 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 24,244,045
-1 -24,244,045

Now, we try dividing 24,244,045 by 3:

24,244,045 ÷ 3 = 8,081,348.3333

If the quotient is a whole number, then 3 and 8,081,348.3333 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 24,244,045
-1 -24,244,045

Let's try dividing by 4:

24,244,045 ÷ 4 = 6,061,011.25

If the quotient is a whole number, then 4 and 6,061,011.25 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 24,244,045
-1 24,244,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1573543891812153014456239051,2671,5053,1153,8276,3357,78316,10919,13526,78938,91554,48180,545112,763133,945272,405563,815692,6873,463,4354,848,80924,244,045
-1-5-7-35-43-89-181-215-301-445-623-905-1,267-1,505-3,115-3,827-6,335-7,783-16,109-19,135-26,789-38,915-54,481-80,545-112,763-133,945-272,405-563,815-692,687-3,463,435-4,848,809-24,244,045

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