Q: What are the factor combinations of the number 2,421,475?

 A:
Positive:   1 x 24214755 x 4842957 x 34592525 x 9685935 x 69185101 x 23975137 x 17675175 x 13837505 x 4795685 x 3535707 x 3425959 x 2525
Negative: -1 x -2421475-5 x -484295-7 x -345925-25 x -96859-35 x -69185-101 x -23975-137 x -17675-175 x -13837-505 x -4795-685 x -3535-707 x -3425-959 x -2525


How do I find the factor combinations of the number 2,421,475?

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 2,421,475, 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 2,421,475
-1 -2,421,475

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 2,421,475.

Example:
1 x 2,421,475 = 2,421,475
and
-1 x -2,421,475 = 2,421,475
Notice both answers equal 2,421,475

With that explanation out of the way, let's continue. Next, we take the number 2,421,475 and divide it by 2:

2,421,475 ÷ 2 = 1,210,737.5

If the quotient is a whole number, then 2 and 1,210,737.5 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 2,421,475
-1 -2,421,475

Now, we try dividing 2,421,475 by 3:

2,421,475 ÷ 3 = 807,158.3333

If the quotient is a whole number, then 3 and 807,158.3333 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 2,421,475
-1 -2,421,475

Let's try dividing by 4:

2,421,475 ÷ 4 = 605,368.75

If the quotient is a whole number, then 4 and 605,368.75 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 2,421,475
-1 2,421,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351011371755056857079592,5253,4253,5354,79513,83717,67523,97569,18596,859345,925484,2952,421,475
-1-5-7-25-35-101-137-175-505-685-707-959-2,525-3,425-3,535-4,795-13,837-17,675-23,975-69,185-96,859-345,925-484,295-2,421,475

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