Q: What are the prime factors of the number 134,252,032?

 A: 2, 263, 997

Why are those the prime factors of the number 134,252,032?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 134,252,032

134,252,032
Factor Arrows
267,126,016
Factor Arrows
233,563,008
Factor Arrows
216,781,504
Factor Arrows
28,390,752
Factor Arrows
24,195,376
Factor Arrows
22,097,688
Factor Arrows
21,048,844
Factor Arrows
2524,422
Factor Arrows
2262,211
Factor Arrows
263997

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 263, 997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 263 x 997 = 134,252,032

This can also be written as 29 x 2631 x 9971 = 134,252,032

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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