Q: What are the factor combinations of the number 24,237,475?

 A:
Positive:   1 x 242374755 x 484749525 x 96949929 x 835775101 x 239975145 x 167155331 x 73225505 x 47995725 x 334311655 x 146452525 x 95992929 x 8275
Negative: -1 x -24237475-5 x -4847495-25 x -969499-29 x -835775-101 x -239975-145 x -167155-331 x -73225-505 x -47995-725 x -33431-1655 x -14645-2525 x -9599-2929 x -8275


How do I find the factor combinations of the number 24,237,475?

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 24,237,475, 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 24,237,475
-1 -24,237,475

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 24,237,475.

Example:
1 x 24,237,475 = 24,237,475
and
-1 x -24,237,475 = 24,237,475
Notice both answers equal 24,237,475

With that explanation out of the way, let's continue. Next, we take the number 24,237,475 and divide it by 2:

24,237,475 ÷ 2 = 12,118,737.5

If the quotient is a whole number, then 2 and 12,118,737.5 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 24,237,475
-1 -24,237,475

Now, we try dividing 24,237,475 by 3:

24,237,475 ÷ 3 = 8,079,158.3333

If the quotient is a whole number, then 3 and 8,079,158.3333 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 24,237,475
-1 -24,237,475

Let's try dividing by 4:

24,237,475 ÷ 4 = 6,059,368.75

If the quotient is a whole number, then 4 and 6,059,368.75 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 24,237,475
-1 24,237,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291011453315057251,6552,5252,9298,2759,59914,64533,43147,99573,225167,155239,975835,775969,4994,847,49524,237,475
-1-5-25-29-101-145-331-505-725-1,655-2,525-2,929-8,275-9,599-14,645-33,431-47,995-73,225-167,155-239,975-835,775-969,499-4,847,495-24,237,475

More Examples

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