Q: What are the factor combinations of the number 155,271,875?

 A:
Positive:   1 x 1552718755 x 3105437511 x 1411562525 x 621087555 x 2823125125 x 1242175275 x 564625625 x 2484351375 x 1129253125 x 496874517 x 343756875 x 22585
Negative: -1 x -155271875-5 x -31054375-11 x -14115625-25 x -6210875-55 x -2823125-125 x -1242175-275 x -564625-625 x -248435-1375 x -112925-3125 x -49687-4517 x -34375-6875 x -22585


How do I find the factor combinations of the number 155,271,875?

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 155,271,875, 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.

1 155,271,875
-1 -155,271,875

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 155,271,875.

Example:
1 x 155,271,875 = 155,271,875
and
-1 x -155,271,875 = 155,271,875
Notice both answers equal 155,271,875

With that explanation out of the way, let's continue. Next, we take the number 155,271,875 and divide it by 2:

155,271,875 ÷ 2 = 77,635,937.5

If the quotient is a whole number, then 2 and 77,635,937.5 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:

1 155,271,875
-1 -155,271,875

Now, we try dividing 155,271,875 by 3:

155,271,875 ÷ 3 = 51,757,291.6667

If the quotient is a whole number, then 3 and 51,757,291.6667 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:

1 155,271,875
-1 -155,271,875

Let's try dividing by 4:

155,271,875 ÷ 4 = 38,817,968.75

If the quotient is a whole number, then 4 and 38,817,968.75 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:

1 155,271,875
-1 155,271,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252756251,3753,1254,5176,87522,58534,37549,687112,925248,435564,6251,242,1752,823,1256,210,87514,115,62531,054,375155,271,875
-1-5-11-25-55-125-275-625-1,375-3,125-4,517-6,875-22,585-34,375-49,687-112,925-248,435-564,625-1,242,175-2,823,125-6,210,875-14,115,625-31,054,375-155,271,875

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